Greatest Common Factor of 31432 and 31436

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 31432, 31436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31432 and 31436 is 4.

GCF(31432,31436) = 4

GCF of 31432 and 31436

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

GCF of:
and

Greatest Common Factor of 31432 and 31436

GCF of 31432 and 31436 is 4

Prime Factorization of 31432


2 31432
2 15716
2 7858
3929 3929
1

Prime factors of 31432 are 2,3929. Prime factorization of 31432 in exponential form is:

31432 = 23×39291

Prime Factorization of 31436


2 31436
2 15718
29 7859
271 271
1

Prime factors of 31436 are 2,29,271. Prime factorization of 31436 in exponential form is:

31436 = 22×291×2711

∴ So by taking common prime factors GCF of 31432 and 31436 is 4

Greatest Common Factor of 31432 and 31436 by matching factors method

Factors of 31432

List of positive integer factors of 31432 that divides 31432 without a remainder.

1,2,4,8,3929,7858,15716,31432

Factors of 31436

List of positive integer factors of 31436 that divides 31436 without a remainder.

1,2,4,29,58,116,271,542,1084,7859,15718,31436

Greatest Common Factor

We found the factors and prime factorization of 31432 and 31436. The biggest common factor number is the GCF number.
So the greatest common factor 31432 and 31436 is 4.

Also check out the Least Common Multiple of 31432 and 31436

Properties of GCF 31432 and 31436

(i) The GCF of 31432 and 31436 is associative

GCF of 31432 and 31436 = GCF of 31436 and 31432

Related Greatest Common Factor of 31432

Related Greatest Common Factor of 31436

Frequently Asked Questions on GCF of 31432 and 31436

1. What is the GCF of 31432 and 31436?

Answer: GCF of 31432 and 31436 is 4.

2. What are the Factors of 31432?

Answer: Factors of 31432 are 1, 2, 4, 8, 3929, 7858, 15716, 31432. There are 8 integers that are factors of 31432. The greatest factor of 31432 is 31432.

3. What are the Factors of 31436?

Answer: Factors of 31436 are 1, 2, 4, 29, 58, 116, 271, 542, 1084, 7859, 15718, 31436. There are 12 integers that are factors of 31436. The greatest factor of 31436 is 31436.

4. How to Find the GCF of 31432 and 31436?

Answer:

Greatest Common Factor of 31432 and 31436 = 4

Step 1: Find the prime factorization of 31432

31432 = 2 x 2 x 2 x 3929

Step 2: Find the prime factorization of 31436

31436 = 2 x 2 x 29 x 271

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 31432 and 31436 is 4