What is the Greatest Common Factor of 31260 and 31280?

Greatest common factor (GCF) of 31260 and 31280 is 20.

GCF(31260,31280) = 20

We will now calculate the prime factors of 31260 and 31280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31260 and 31280.

How to find the GCF of 31260 and 31280?

We will first find the prime factorization of 31260 and 31280. After we will calculate the factors of 31260 and 31280 and find the biggest common factor number .

Step-1: Prime Factorization of 31260

Prime factors of 31260 are 2, 3, 5, 521. Prime factorization of 31260 in exponential form is:

31260 = 2² × 3¹ × 5¹ × 521¹

Step-2: Prime Factorization of 31280

Prime factors of 31280 are 2, 5, 17, 23. Prime factorization of 31280 in exponential form is:

31280 = 2⁴ × 5¹ × 17¹ × 23¹

Step-3: Factors of 31260

List of positive integer factors of 31260 that divides 31260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 521, 1042, 1563, 2084, 2605, 3126, 5210, 6252, 7815, 10420, 15630

Step-4: Factors of 31280

List of positive integer factors of 31280 that divides 31260 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 34, 40, 46, 68, 80, 85, 92, 115, 136, 170, 184, 230, 272, 340, 368, 391, 460, 680, 782, 920, 1360, 1564, 1840, 1955, 3128, 3910, 6256, 7820, 15640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31260 and 31280. The biggest common factor number is the GCF number.
So the greatest common factor 31260 and 31280 is 20.

Also check out the Least Common Multiple of 31260 and 31280