Greatest Common Factor of 31306 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 31306, 31312 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31306 and 31312 is 2.

GCF(31306,31312) = 2

GCF of 31306 and 31312

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

GCF of:
and

Greatest Common Factor of 31306 and 31312

GCF of 31306 and 31312 is 2

Prime Factorization of 31306


2 31306
11 15653
1423 1423
1

Prime factors of 31306 are 2,11,1423. Prime factorization of 31306 in exponential form is:

31306 = 21×111×14231

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 31306 and 31312 is 2

Greatest Common Factor of 31306 and 31312 by matching factors method

Factors of 31306

List of positive integer factors of 31306 that divides 31306 without a remainder.

1,2,11,22,1423,2846,15653,31306

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 31306 and 31312. The biggest common factor number is the GCF number.
So the greatest common factor 31306 and 31312 is 2.

Also check out the Least Common Multiple of 31306 and 31312

Properties of GCF 31306 and 31312

(i) The GCF of 31306 and 31312 is associative

GCF of 31306 and 31312 = GCF of 31312 and 31306

Related Greatest Common Factor of 31306

Related Greatest Common Factor of 31312

Frequently Asked Questions on GCF of 31306 and 31312

1. What is the GCF of 31306 and 31312?

Answer: GCF of 31306 and 31312 is 2.

2. What are the Factors of 31306?

Answer: Factors of 31306 are 1, 2, 11, 22, 1423, 2846, 15653, 31306. There are 8 integers that are factors of 31306. The greatest factor of 31306 is 31306.

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 31306 and 31312?

Answer:

Greatest Common Factor of 31306 and 31312 = 2

Step 1: Find the prime factorization of 31306

31306 = 2 x 11 x 1423

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

Step 4: Therefore, the greatest common factor of 31306 and 31312 is 2