What is the Greatest Common Factor of 31460 and 31468?

Greatest common factor (GCF) of 31460 and 31468 is 4.

GCF(31460,31468) = 4

We will now calculate the prime factors of 31460 and 31468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31468.

How to find the GCF of 31460 and 31468?

We will first find the prime factorization of 31460 and 31468. After we will calculate the factors of 31460 and 31468 and find the biggest common factor number .

Step-1: Prime Factorization of 31460

Prime factors of 31460 are 2, 5, 11, 13. Prime factorization of 31460 in exponential form is:

31460 = 2² × 5¹ × 11² × 13¹

Step-2: Prime Factorization of 31468

Prime factors of 31468 are 2, 7867. Prime factorization of 31468 in exponential form is:

31468 = 2² × 7867¹

Step-3: Factors of 31460

List of positive integer factors of 31460 that divides 31460 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 121, 130, 143, 220, 242, 260, 286, 484, 572, 605, 715, 1210, 1430, 1573, 2420, 2860, 3146, 6292, 7865, 15730

Step-4: Factors of 31468

List of positive integer factors of 31468 that divides 31460 without a remainder.

1, 2, 4, 7867, 15734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31468. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31468 is 4.

Also check out the Least Common Multiple of 31460 and 31468