Greatest Common Factor of 5364 and 5372

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 5364, 5372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5364 and 5372 is 4.

GCF(5364,5372) = 4

GCF of 5364 and 5372

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

GCF of:
and

Greatest Common Factor of 5364 and 5372

GCF of 5364 and 5372 is 4

Prime Factorization of 5364


2 5364
2 2682
3 1341
3 447
149 149
1

Prime factors of 5364 are 2,3,149. Prime factorization of 5364 in exponential form is:

5364 = 22×32×1491

Prime Factorization of 5372


2 5372
2 2686
17 1343
79 79
1

Prime factors of 5372 are 2,17,79. Prime factorization of 5372 in exponential form is:

5372 = 22×171×791

∴ So by taking common prime factors GCF of 5364 and 5372 is 4

Greatest Common Factor of 5364 and 5372 by matching factors method

Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

Greatest Common Factor

We found the factors and prime factorization of 5364 and 5372. The biggest common factor number is the GCF number.
So the greatest common factor 5364 and 5372 is 4.

Also check out the Least Common Multiple of 5364 and 5372

Properties of GCF 5364 and 5372

(i) The GCF of 5364 and 5372 is associative

GCF of 5364 and 5372 = GCF of 5372 and 5364

Related Greatest Common Factor of 5364

Related Greatest Common Factor of 5372

Frequently Asked Questions on GCF of 5364 and 5372

1. What is the GCF of 5364 and 5372?

Answer: GCF of 5364 and 5372 is 4.

2. What are the Factors of 5364?

Answer: Factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364. There are 18 integers that are factors of 5364. The greatest factor of 5364 is 5364.

3. What are the Factors of 5372?

Answer: Factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372. There are 12 integers that are factors of 5372. The greatest factor of 5372 is 5372.

4. How to Find the GCF of 5364 and 5372?

Answer:

Greatest Common Factor of 5364 and 5372 = 4

Step 1: Find the prime factorization of 5364

5364 = 2 x 2 x 3 x 3 x 149

Step 2: Find the prime factorization of 5372

5372 = 2 x 2 x 17 x 79

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 5364 and 5372 is 4