Greatest Common Factor of 31308 and 31312

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 31308, 31312 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31308 and 31312 is 4.

GCF(31308,31312) = 4

GCF of 31308 and 31312

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

GCF of:
and

Greatest Common Factor of 31308 and 31312

GCF of 31308 and 31312 is 4

Prime Factorization of 31308


2 31308
2 15654
3 7827
2609 2609
1

Prime factors of 31308 are 2,3,2609. Prime factorization of 31308 in exponential form is:

31308 = 22×31×26091

Prime Factorization of 31312


2 31312
2 15656
2 7828
2 3914
19 1957
103 103
1

Prime factors of 31312 are 2,19,103. Prime factorization of 31312 in exponential form is:

31312 = 24×191×1031

∴ So by taking common prime factors GCF of 31308 and 31312 is 4

Greatest Common Factor of 31308 and 31312 by matching factors method

Factors of 31308

List of positive integer factors of 31308 that divides 31308 without a remainder.

1,2,3,4,6,12,2609,5218,7827,10436,15654,31308

Factors of 31312

List of positive integer factors of 31312 that divides 31312 without a remainder.

1,2,4,8,16,19,38,76,103,152,206,304,412,824,1648,1957,3914,7828,15656,31312

Greatest Common Factor

We found the factors and prime factorization of 31308 and 31312. The biggest common factor number is the GCF number.
So the greatest common factor 31308 and 31312 is 4.

Also check out the Least Common Multiple of 31308 and 31312

Properties of GCF 31308 and 31312

(i) The GCF of 31308 and 31312 is associative

GCF of 31308 and 31312 = GCF of 31312 and 31308

Related Greatest Common Factor of 31308

Related Greatest Common Factor of 31312

Frequently Asked Questions on GCF of 31308 and 31312

1. What is the GCF of 31308 and 31312?

Answer: GCF of 31308 and 31312 is 4.

2. What are the Factors of 31308?

Answer: Factors of 31308 are 1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308. There are 12 integers that are factors of 31308. The greatest factor of 31308 is 31308.

3. What are the Factors of 31312?

Answer: Factors of 31312 are 1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312. There are 20 integers that are factors of 31312. The greatest factor of 31312 is 31312.

4. How to Find the GCF of 31308 and 31312?

Answer:

Greatest Common Factor of 31308 and 31312 = 4

Step 1: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

Step 2: Find the prime factorization of 31312

31312 = 2 x 2 x 2 x 2 x 19 x 103

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 31308 and 31312 is 4