Greatest Common Factor of 3270 and 3276

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 3270, 3276 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3270 and 3276 is 6.

GCF(3270,3276) = 6

GCF of 3270 and 3276

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

GCF of:
and

Greatest Common Factor of 3270 and 3276

GCF of 3270 and 3276 is 6

Prime Factorization of 3270


2 3270
3 1635
5 545
109 109
1

Prime factors of 3270 are 2,3,5,109. Prime factorization of 3270 in exponential form is:

3270 = 21×31×51×1091

Prime Factorization of 3276


2 3276
2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 3276 are 2,3,7,13. Prime factorization of 3276 in exponential form is:

3276 = 22×32×71×131

∴ So by taking common prime factors GCF of 3270 and 3276 is 6

Greatest Common Factor of 3270 and 3276 by matching factors method

Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276

Greatest Common Factor

We found the factors and prime factorization of 3270 and 3276. The biggest common factor number is the GCF number.
So the greatest common factor 3270 and 3276 is 6.

Also check out the Least Common Multiple of 3270 and 3276

Properties of GCF 3270 and 3276

(i) The GCF of 3270 and 3276 is associative

GCF of 3270 and 3276 = GCF of 3276 and 3270

Related Greatest Common Factor of 3270

Related Greatest Common Factor of 3276

Frequently Asked Questions on GCF of 3270 and 3276

1. What is the GCF of 3270 and 3276?

Answer: GCF of 3270 and 3276 is 6.

2. What are the Factors of 3270?

Answer: Factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270. There are 16 integers that are factors of 3270. The greatest factor of 3270 is 3270.

3. What are the Factors of 3276?

Answer: Factors of 3276 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638, 3276. There are 36 integers that are factors of 3276. The greatest factor of 3276 is 3276.

4. How to Find the GCF of 3270 and 3276?

Answer:

Greatest Common Factor of 3270 and 3276 = 6

Step 1: Find the prime factorization of 3270

3270 = 2 x 3 x 5 x 109

Step 2: Find the prime factorization of 3276

3276 = 2 x 2 x 3 x 3 x 7 x 13

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3270 and 3276 is 6