Greatest Common Factor of 31492 and 31496

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 31492, 31496 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31492 and 31496 is 4.

GCF(31492,31496) = 4

GCF of 31492 and 31496

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

GCF of:
and

Greatest Common Factor of 31492 and 31496

GCF of 31492 and 31496 is 4

Prime Factorization of 31492


2 31492
2 15746
7873 7873
1

Prime factors of 31492 are 2,7873. Prime factorization of 31492 in exponential form is:

31492 = 22×78731

Prime Factorization of 31496


2 31496
2 15748
2 7874
31 3937
127 127
1

Prime factors of 31496 are 2,31,127. Prime factorization of 31496 in exponential form is:

31496 = 23×311×1271

∴ So by taking common prime factors GCF of 31492 and 31496 is 4

Greatest Common Factor of 31492 and 31496 by matching factors method

Factors of 31492

List of positive integer factors of 31492 that divides 31492 without a remainder.

1,2,4,7873,15746,31492

Factors of 31496

List of positive integer factors of 31496 that divides 31496 without a remainder.

1,2,4,8,31,62,124,127,248,254,508,1016,3937,7874,15748,31496

Greatest Common Factor

We found the factors and prime factorization of 31492 and 31496. The biggest common factor number is the GCF number.
So the greatest common factor 31492 and 31496 is 4.

Also check out the Least Common Multiple of 31492 and 31496

Properties of GCF 31492 and 31496

(i) The GCF of 31492 and 31496 is associative

GCF of 31492 and 31496 = GCF of 31496 and 31492

Related Greatest Common Factor of 31492

Related Greatest Common Factor of 31496

Frequently Asked Questions on GCF of 31492 and 31496

1. What is the GCF of 31492 and 31496?

Answer: GCF of 31492 and 31496 is 4.

2. What are the Factors of 31492?

Answer: Factors of 31492 are 1, 2, 4, 7873, 15746, 31492. There are 6 integers that are factors of 31492. The greatest factor of 31492 is 31492.

3. What are the Factors of 31496?

Answer: Factors of 31496 are 1, 2, 4, 8, 31, 62, 124, 127, 248, 254, 508, 1016, 3937, 7874, 15748, 31496. There are 16 integers that are factors of 31496. The greatest factor of 31496 is 31496.

4. How to Find the GCF of 31492 and 31496?

Answer:

Greatest Common Factor of 31492 and 31496 = 4

Step 1: Find the prime factorization of 31492

31492 = 2 x 2 x 7873

Step 2: Find the prime factorization of 31496

31496 = 2 x 2 x 2 x 31 x 127

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 31492 and 31496 is 4