Greatest Common Factor of 310416 and 310420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 310416, 310420 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310416 and 310420 is 4.

GCF(310416,310420) = 4

GCF of 310416 and 310420

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 310416 and 310420

GCF of 310416 and 310420 is 4

Prime Factorization of 310416


2 310416
2 155208
2 77604
2 38802
3 19401
29 6467
223 223
1

Prime factors of 310416 are 2,3,29,223. Prime factorization of 310416 in exponential form is:

310416 = 24×31×291×2231

Prime Factorization of 310420


2 310420
2 155210
5 77605
11 15521
17 1411
83 83
1

Prime factors of 310420 are 2,5,11,17,83. Prime factorization of 310420 in exponential form is:

310420 = 22×51×111×171×831

∴ So by taking common prime factors GCF of 310416 and 310420 is 4

Greatest Common Factor of 310416 and 310420 by matching factors method

Factors of 310416

List of positive integer factors of 310416 that divides 310416 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,223,232,348,446,464,669,696,892,1338,1392,1784,2676,3568,5352,6467,10704,12934,19401,25868,38802,51736,77604,103472,155208,310416

Factors of 310420

List of positive integer factors of 310420 that divides 310420 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,83,85,110,166,170,187,220,332,340,374,415,748,830,913,935,1411,1660,1826,1870,2822,3652,3740,4565,5644,7055,9130,14110,15521,18260,28220,31042,62084,77605,155210,310420

Greatest Common Factor

We found the factors and prime factorization of 310416 and 310420. The biggest common factor number is the GCF number.
So the greatest common factor 310416 and 310420 is 4.

Also check out the Least Common Multiple of 310416 and 310420

Properties of GCF 310416 and 310420

(i) The GCF of 310416 and 310420 is associative

GCF of 310416 and 310420 = GCF of 310420 and 310416

Related Greatest Common Factor of 310416

Related Greatest Common Factor of 310420

Frequently Asked Questions on GCF of 310416 and 310420

1. What is the GCF of 310416 and 310420?

Answer: GCF of 310416 and 310420 is 4.

2. What are the Factors of 310416?

Answer: Factors of 310416 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 223, 232, 348, 446, 464, 669, 696, 892, 1338, 1392, 1784, 2676, 3568, 5352, 6467, 10704, 12934, 19401, 25868, 38802, 51736, 77604, 103472, 155208, 310416. There are 40 integers that are factors of 310416. The greatest factor of 310416 is 310416.

3. What are the Factors of 310420?

Answer: Factors of 310420 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 83, 85, 110, 166, 170, 187, 220, 332, 340, 374, 415, 748, 830, 913, 935, 1411, 1660, 1826, 1870, 2822, 3652, 3740, 4565, 5644, 7055, 9130, 14110, 15521, 18260, 28220, 31042, 62084, 77605, 155210, 310420. There are 48 integers that are factors of 310420. The greatest factor of 310420 is 310420.

4. How to Find the GCF of 310416 and 310420?

Answer:

Greatest Common Factor of 310416 and 310420 = 4

Step 1: Find the prime factorization of 310416

310416 = 2 x 2 x 2 x 2 x 3 x 29 x 223

Step 2: Find the prime factorization of 310420

310420 = 2 x 2 x 5 x 11 x 17 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 310416 and 310420 is 4