Greatest Common Factor of 31316 and 31324

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 31316, 31324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31316 and 31324 is 4.

GCF(31316,31324) = 4

GCF of 31316 and 31324

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

GCF of:
and

Greatest Common Factor of 31316 and 31324

GCF of 31316 and 31324 is 4

Prime Factorization of 31316


2 31316
2 15658
7829 7829
1

Prime factors of 31316 are 2,7829. Prime factorization of 31316 in exponential form is:

31316 = 22×78291

Prime Factorization of 31324


2 31324
2 15662
41 7831
191 191
1

Prime factors of 31324 are 2,41,191. Prime factorization of 31324 in exponential form is:

31324 = 22×411×1911

∴ So by taking common prime factors GCF of 31316 and 31324 is 4

Greatest Common Factor of 31316 and 31324 by matching factors method

Factors of 31316

List of positive integer factors of 31316 that divides 31316 without a remainder.

1,2,4,7829,15658,31316

Factors of 31324

List of positive integer factors of 31324 that divides 31324 without a remainder.

1,2,4,41,82,164,191,382,764,7831,15662,31324

Greatest Common Factor

We found the factors and prime factorization of 31316 and 31324. The biggest common factor number is the GCF number.
So the greatest common factor 31316 and 31324 is 4.

Also check out the Least Common Multiple of 31316 and 31324

Properties of GCF 31316 and 31324

(i) The GCF of 31316 and 31324 is associative

GCF of 31316 and 31324 = GCF of 31324 and 31316

Related Greatest Common Factor of 31316

Related Greatest Common Factor of 31324

Frequently Asked Questions on GCF of 31316 and 31324

1. What is the GCF of 31316 and 31324?

Answer: GCF of 31316 and 31324 is 4.

2. What are the Factors of 31316?

Answer: Factors of 31316 are 1, 2, 4, 7829, 15658, 31316. There are 6 integers that are factors of 31316. The greatest factor of 31316 is 31316.

3. What are the Factors of 31324?

Answer: Factors of 31324 are 1, 2, 4, 41, 82, 164, 191, 382, 764, 7831, 15662, 31324. There are 12 integers that are factors of 31324. The greatest factor of 31324 is 31324.

4. How to Find the GCF of 31316 and 31324?

Answer:

Greatest Common Factor of 31316 and 31324 = 4

Step 1: Find the prime factorization of 31316

31316 = 2 x 2 x 7829

Step 2: Find the prime factorization of 31324

31324 = 2 x 2 x 41 x 191

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 31316 and 31324 is 4