Greatest Common Factor of 25316 and 25324

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 25316, 25324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25316 and 25324 is 4.

GCF(25316,25324) = 4

GCF of 25316 and 25324

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

GCF of:
and

Greatest Common Factor of 25316 and 25324

GCF of 25316 and 25324 is 4

Prime Factorization of 25316


2 25316
2 12658
6329 6329
1

Prime factors of 25316 are 2,6329. Prime factorization of 25316 in exponential form is:

25316 = 22×63291

Prime Factorization of 25324


2 25324
2 12662
13 6331
487 487
1

Prime factors of 25324 are 2,13,487. Prime factorization of 25324 in exponential form is:

25324 = 22×131×4871

∴ So by taking common prime factors GCF of 25316 and 25324 is 4

Greatest Common Factor of 25316 and 25324 by matching factors method

Factors of 25316

List of positive integer factors of 25316 that divides 25316 without a remainder.

1,2,4,6329,12658,25316

Factors of 25324

List of positive integer factors of 25324 that divides 25324 without a remainder.

1,2,4,13,26,52,487,974,1948,6331,12662,25324

Greatest Common Factor

We found the factors and prime factorization of 25316 and 25324. The biggest common factor number is the GCF number.
So the greatest common factor 25316 and 25324 is 4.

Also check out the Least Common Multiple of 25316 and 25324

Properties of GCF 25316 and 25324

(i) The GCF of 25316 and 25324 is associative

GCF of 25316 and 25324 = GCF of 25324 and 25316

Related Greatest Common Factor of 25316

Related Greatest Common Factor of 25324

Frequently Asked Questions on GCF of 25316 and 25324

1. What is the GCF of 25316 and 25324?

Answer: GCF of 25316 and 25324 is 4.

2. What are the Factors of 25316?

Answer: Factors of 25316 are 1, 2, 4, 6329, 12658, 25316. There are 6 integers that are factors of 25316. The greatest factor of 25316 is 25316.

3. What are the Factors of 25324?

Answer: Factors of 25324 are 1, 2, 4, 13, 26, 52, 487, 974, 1948, 6331, 12662, 25324. There are 12 integers that are factors of 25324. The greatest factor of 25324 is 25324.

4. How to Find the GCF of 25316 and 25324?

Answer:

Greatest Common Factor of 25316 and 25324 = 4

Step 1: Find the prime factorization of 25316

25316 = 2 x 2 x 6329

Step 2: Find the prime factorization of 25324

25324 = 2 x 2 x 13 x 487

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 25316 and 25324 is 4