Greatest Common Factor of 31472 and 31480

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 31472, 31480 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31472 and 31480 is 8.

GCF(31472,31480) = 8

GCF of 31472 and 31480

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

GCF of:
and

Greatest Common Factor of 31472 and 31480

GCF of 31472 and 31480 is 8

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

Prime Factorization of 31480


2 31480
2 15740
2 7870
5 3935
787 787
1

Prime factors of 31480 are 2,5,787. Prime factorization of 31480 in exponential form is:

31480 = 23×51×7871

∴ So by taking common prime factors GCF of 31472 and 31480 is 8

Greatest Common Factor of 31472 and 31480 by matching factors method

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

Factors of 31480

List of positive integer factors of 31480 that divides 31480 without a remainder.

1,2,4,5,8,10,20,40,787,1574,3148,3935,6296,7870,15740,31480

Greatest Common Factor

We found the factors and prime factorization of 31472 and 31480. The biggest common factor number is the GCF number.
So the greatest common factor 31472 and 31480 is 8.

Also check out the Least Common Multiple of 31472 and 31480

Properties of GCF 31472 and 31480

(i) The GCF of 31472 and 31480 is associative

GCF of 31472 and 31480 = GCF of 31480 and 31472

Related Greatest Common Factor of 31472

Related Greatest Common Factor of 31480

Frequently Asked Questions on GCF of 31472 and 31480

1. What is the GCF of 31472 and 31480?

Answer: GCF of 31472 and 31480 is 8.

2. 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.

3. What are the Factors of 31480?

Answer: Factors of 31480 are 1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740, 31480. There are 16 integers that are factors of 31480. The greatest factor of 31480 is 31480.

4. How to Find the GCF of 31472 and 31480?

Answer:

Greatest Common Factor of 31472 and 31480 = 8

Step 1: Find the prime factorization of 31472

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

Step 2: Find the prime factorization of 31480

31480 = 2 x 2 x 2 x 5 x 787

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 31472 and 31480 is 8