Greatest Common Factor of 15322 and 15324

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 15322, 15324 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15322 and 15324 is 2.

GCF(15322,15324) = 2

GCF of 15322 and 15324

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

GCF of:
and

Greatest Common Factor of 15322 and 15324

GCF of 15322 and 15324 is 2

Prime Factorization of 15322


2 15322
47 7661
163 163
1

Prime factors of 15322 are 2,47,163. Prime factorization of 15322 in exponential form is:

15322 = 21×471×1631

Prime Factorization of 15324


2 15324
2 7662
3 3831
1277 1277
1

Prime factors of 15324 are 2,3,1277. Prime factorization of 15324 in exponential form is:

15324 = 22×31×12771

∴ So by taking common prime factors GCF of 15322 and 15324 is 2

Greatest Common Factor of 15322 and 15324 by matching factors method

Factors of 15322

List of positive integer factors of 15322 that divides 15322 without a remainder.

1,2,47,94,163,326,7661,15322

Factors of 15324

List of positive integer factors of 15324 that divides 15324 without a remainder.

1,2,3,4,6,12,1277,2554,3831,5108,7662,15324

Greatest Common Factor

We found the factors and prime factorization of 15322 and 15324. The biggest common factor number is the GCF number.
So the greatest common factor 15322 and 15324 is 2.

Also check out the Least Common Multiple of 15322 and 15324

Properties of GCF 15322 and 15324

(i) The GCF of 15322 and 15324 is associative

GCF of 15322 and 15324 = GCF of 15324 and 15322

Related Greatest Common Factor of 15322

Related Greatest Common Factor of 15324

Frequently Asked Questions on GCF of 15322 and 15324

1. What is the GCF of 15322 and 15324?

Answer: GCF of 15322 and 15324 is 2.

2. What are the Factors of 15322?

Answer: Factors of 15322 are 1, 2, 47, 94, 163, 326, 7661, 15322. There are 8 integers that are factors of 15322. The greatest factor of 15322 is 15322.

3. What are the Factors of 15324?

Answer: Factors of 15324 are 1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324. There are 12 integers that are factors of 15324. The greatest factor of 15324 is 15324.

4. How to Find the GCF of 15322 and 15324?

Answer:

Greatest Common Factor of 15322 and 15324 = 2

Step 1: Find the prime factorization of 15322

15322 = 2 x 47 x 163

Step 2: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15322 and 15324 is 2