Greatest Common Factor of 31466 and 31472

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 31466, 31472 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31466 and 31472 is 2.

GCF(31466,31472) = 2

GCF of 31466 and 31472

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

GCF of:
and

Greatest Common Factor of 31466 and 31472

GCF of 31466 and 31472 is 2

Prime Factorization of 31466


2 31466
15733 15733
1

Prime factors of 31466 are 2,15733. Prime factorization of 31466 in exponential form is:

31466 = 21×157331

Prime Factorization of 31472


2 31472
2 15736
2 7868
2 3934
7 1967
281 281
1

Prime factors of 31472 are 2,7,281. Prime factorization of 31472 in exponential form is:

31472 = 24×71×2811

∴ So by taking common prime factors GCF of 31466 and 31472 is 2

Greatest Common Factor of 31466 and 31472 by matching factors method

Factors of 31466

List of positive integer factors of 31466 that divides 31466 without a remainder.

1,2,15733,31466

Factors of 31472

List of positive integer factors of 31472 that divides 31472 without a remainder.

1,2,4,7,8,14,16,28,56,112,281,562,1124,1967,2248,3934,4496,7868,15736,31472

Greatest Common Factor

We found the factors and prime factorization of 31466 and 31472. The biggest common factor number is the GCF number.
So the greatest common factor 31466 and 31472 is 2.

Also check out the Least Common Multiple of 31466 and 31472

Properties of GCF 31466 and 31472

(i) The GCF of 31466 and 31472 is associative

GCF of 31466 and 31472 = GCF of 31472 and 31466

Related Greatest Common Factor of 31466

Related Greatest Common Factor of 31472

Frequently Asked Questions on GCF of 31466 and 31472

1. What is the GCF of 31466 and 31472?

Answer: GCF of 31466 and 31472 is 2.

2. What are the Factors of 31466?

Answer: Factors of 31466 are 1, 2, 15733, 31466. There are 4 integers that are factors of 31466. The greatest factor of 31466 is 31466.

3. What are the Factors of 31472?

Answer: Factors of 31472 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736, 31472. There are 20 integers that are factors of 31472. The greatest factor of 31472 is 31472.

4. How to Find the GCF of 31466 and 31472?

Answer:

Greatest Common Factor of 31466 and 31472 = 2

Step 1: Find the prime factorization of 31466

31466 = 2 x 15733

Step 2: Find the prime factorization of 31472

31472 = 2 x 2 x 2 x 2 x 7 x 281

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 31466 and 31472 is 2