What is the Greatest Common Factor of 31460 and 31480?

Greatest common factor (GCF) of 31460 and 31480 is 20.

GCF(31460,31480) = 20

We will now calculate the prime factors of 31460 and 31480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31460 and 31480.

How to find the GCF of 31460 and 31480?

We will first find the prime factorization of 31460 and 31480. After we will calculate the factors of 31460 and 31480 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 31480

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

31480 = 2³ × 5¹ × 787¹

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 31480

List of positive integer factors of 31480 that divides 31460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31460 and 31480. The biggest common factor number is the GCF number.
So the greatest common factor 31460 and 31480 is 20.

Also check out the Least Common Multiple of 31460 and 31480