What is the Greatest Common Factor of 31260 and 31265?

Greatest common factor (GCF) of 31260 and 31265 is 5.

GCF(31260,31265) = 5

We will now calculate the prime factors of 31260 and 31265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31260 and 31265.

How to find the GCF of 31260 and 31265?

We will first find the prime factorization of 31260 and 31265. After we will calculate the factors of 31260 and 31265 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 31265

Prime factors of 31265 are 5, 13, 37. Prime factorization of 31265 in exponential form is:

31265 = 5¹ × 13² × 37¹

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 31265

List of positive integer factors of 31265 that divides 31260 without a remainder.

1, 5, 13, 37, 65, 169, 185, 481, 845, 2405, 6253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31260 and 31265. The biggest common factor number is the GCF number.
So the greatest common factor 31260 and 31265 is 5.

Also check out the Least Common Multiple of 31260 and 31265