Greatest Common Factor of 6364 and 6372

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 6364, 6372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6364 and 6372 is 4.

GCF(6364,6372) = 4

GCF of 6364 and 6372

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

GCF of:
and

Greatest Common Factor of 6364 and 6372

GCF of 6364 and 6372 is 4

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2,37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

Prime Factorization of 6372


2 6372
2 3186
3 1593
3 531
3 177
59 59
1

Prime factors of 6372 are 2,3,59. Prime factorization of 6372 in exponential form is:

6372 = 22×33×591

∴ So by taking common prime factors GCF of 6364 and 6372 is 4

Greatest Common Factor of 6364 and 6372 by matching factors method

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Factors of 6372

List of positive integer factors of 6372 that divides 6372 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372

Greatest Common Factor

We found the factors and prime factorization of 6364 and 6372. The biggest common factor number is the GCF number.
So the greatest common factor 6364 and 6372 is 4.

Also check out the Least Common Multiple of 6364 and 6372

Properties of GCF 6364 and 6372

(i) The GCF of 6364 and 6372 is associative

GCF of 6364 and 6372 = GCF of 6372 and 6364

Related Greatest Common Factor of 6364

Related Greatest Common Factor of 6372

Frequently Asked Questions on GCF of 6364 and 6372

1. What is the GCF of 6364 and 6372?

Answer: GCF of 6364 and 6372 is 4.

2. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

3. What are the Factors of 6372?

Answer: Factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372. There are 24 integers that are factors of 6372. The greatest factor of 6372 is 6372.

4. How to Find the GCF of 6364 and 6372?

Answer:

Greatest Common Factor of 6364 and 6372 = 4

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6372

6372 = 2 x 2 x 3 x 3 x 3 x 59

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 6364 and 6372 is 4