Greatest Common Factor of 310440 and 310448

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 310440, 310448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310440 and 310448 is 8.

GCF(310440,310448) = 8

GCF of 310440 and 310448

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

GCF of:
and

Greatest Common Factor of 310440 and 310448

GCF of 310440 and 310448 is 8

Prime Factorization of 310440


2 310440
2 155220
2 77610
3 38805
5 12935
13 2587
199 199
1

Prime factors of 310440 are 2,3,5,13,199. Prime factorization of 310440 in exponential form is:

310440 = 23×31×51×131×1991

Prime Factorization of 310448


2 310448
2 155224
2 77612
2 38806
19403 19403
1

Prime factors of 310448 are 2,19403. Prime factorization of 310448 in exponential form is:

310448 = 24×194031

∴ So by taking common prime factors GCF of 310440 and 310448 is 8

Greatest Common Factor of 310440 and 310448 by matching factors method

Factors of 310440

List of positive integer factors of 310440 that divides 310440 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,199,260,312,390,398,520,597,780,796,995,1194,1560,1592,1990,2388,2587,2985,3980,4776,5174,5970,7761,7960,10348,11940,12935,15522,20696,23880,25870,31044,38805,51740,62088,77610,103480,155220,310440

Factors of 310448

List of positive integer factors of 310448 that divides 310448 without a remainder.

1,2,4,8,16,19403,38806,77612,155224,310448

Greatest Common Factor

We found the factors and prime factorization of 310440 and 310448. The biggest common factor number is the GCF number.
So the greatest common factor 310440 and 310448 is 8.

Also check out the Least Common Multiple of 310440 and 310448

Properties of GCF 310440 and 310448

(i) The GCF of 310440 and 310448 is associative

GCF of 310440 and 310448 = GCF of 310448 and 310440

Related Greatest Common Factor of 310440

Related Greatest Common Factor of 310448

Frequently Asked Questions on GCF of 310440 and 310448

1. What is the GCF of 310440 and 310448?

Answer: GCF of 310440 and 310448 is 8.

2. What are the Factors of 310440?

Answer: Factors of 310440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 199, 260, 312, 390, 398, 520, 597, 780, 796, 995, 1194, 1560, 1592, 1990, 2388, 2587, 2985, 3980, 4776, 5174, 5970, 7761, 7960, 10348, 11940, 12935, 15522, 20696, 23880, 25870, 31044, 38805, 51740, 62088, 77610, 103480, 155220, 310440. There are 64 integers that are factors of 310440. The greatest factor of 310440 is 310440.

3. What are the Factors of 310448?

Answer: Factors of 310448 are 1, 2, 4, 8, 16, 19403, 38806, 77612, 155224, 310448. There are 10 integers that are factors of 310448. The greatest factor of 310448 is 310448.

4. How to Find the GCF of 310440 and 310448?

Answer:

Greatest Common Factor of 310440 and 310448 = 8

Step 1: Find the prime factorization of 310440

310440 = 2 x 2 x 2 x 3 x 5 x 13 x 199

Step 2: Find the prime factorization of 310448

310448 = 2 x 2 x 2 x 2 x 19403

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 310440 and 310448 is 8