Greatest Common Factor of 312 and 316

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 312, 316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 312 and 316 is 4.

GCF(312,316) = 4

GCF of 312 and 316

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

GCF of:
and

Greatest Common Factor of 312 and 316

GCF of 312 and 316 is 4

Prime Factorization of 312


2 312
2 156
2 78
3 39
13 13
1

Prime factors of 312 are 2,3,13. Prime factorization of 312 in exponential form is:

312 = 23×31×131

Prime Factorization of 316


2 316
2 158
79 79
1

Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:

316 = 22×791

∴ So by taking common prime factors GCF of 312 and 316 is 4

Greatest Common Factor of 312 and 316 by matching factors method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors and prime factorization of 312 and 316. The biggest common factor number is the GCF number.
So the greatest common factor 312 and 316 is 4.

Also check out the Least Common Multiple of 312 and 316

Properties of GCF 312 and 316

(i) The GCF of 312 and 316 is associative

GCF of 312 and 316 = GCF of 316 and 312

Related Greatest Common Factor of 312

Related Greatest Common Factor of 316

Frequently Asked Questions on GCF of 312 and 316

1. What is the GCF of 312 and 316?

Answer: GCF of 312 and 316 is 4.

2. What are the Factors of 312?

Answer: Factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312. There are 16 integers that are factors of 312. The greatest factor of 312 is 312.

3. What are the Factors of 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

4. How to Find the GCF of 312 and 316?

Answer:

Greatest Common Factor of 312 and 316 = 4

Step 1: Find the prime factorization of 312

312 = 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 316

316 = 2 x 2 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 312 and 316 is 4