Greatest Common Factor of 31309 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 31309, 31312 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31309 and 31312 is 1.

GCF(31309,31312) = 1

GCF of 31309 and 31312

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

GCF of:
and

Greatest Common Factor of 31309 and 31312

GCF of 31309 and 31312 is 1

Prime Factorization of 31309


131 31309
239 239
1

Prime factors of 31309 are 131,239. Prime factorization of 31309 in exponential form is:

31309 = 1311×2391

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 31309 and 31312 is 1

Greatest Common Factor of 31309 and 31312 by matching factors method

Factors of 31309

List of positive integer factors of 31309 that divides 31309 without a remainder.

1,131,239,31309

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 31309 and 31312. The biggest common factor number is the GCF number.
So the greatest common factor 31309 and 31312 is 1.

Also check out the Least Common Multiple of 31309 and 31312

Properties of GCF 31309 and 31312

(i) The GCF of 31309 and 31312 is associative

GCF of 31309 and 31312 = GCF of 31312 and 31309

Related Greatest Common Factor of 31309

Related Greatest Common Factor of 31312

Frequently Asked Questions on GCF of 31309 and 31312

1. What is the GCF of 31309 and 31312?

Answer: GCF of 31309 and 31312 is 1.

2. What are the Factors of 31309?

Answer: Factors of 31309 are 1, 131, 239, 31309. There are 4 integers that are factors of 31309. The greatest factor of 31309 is 31309.

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 31309 and 31312?

Answer:

Greatest Common Factor of 31309 and 31312 = 1

Step 1: Find the prime factorization of 31309

31309 = 131 x 239

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 = = 1

Step 4: Therefore, the greatest common factor of 31309 and 31312 is 1