What is the Greatest Common Factor of 31375 and 31380?

Greatest common factor (GCF) of 31375 and 31380 is 5.

GCF(31375,31380) = 5

We will now calculate the prime factors of 31375 and 31380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31375 and 31380.

How to find the GCF of 31375 and 31380?

We will first find the prime factorization of 31375 and 31380. After we will calculate the factors of 31375 and 31380 and find the biggest common factor number .

Step-1: Prime Factorization of 31375

Prime factors of 31375 are 5, 251. Prime factorization of 31375 in exponential form is:

31375 = 5³ × 251¹

Step-2: Prime Factorization of 31380

Prime factors of 31380 are 2, 3, 5, 523. Prime factorization of 31380 in exponential form is:

31380 = 2² × 3¹ × 5¹ × 523¹

Step-3: Factors of 31375

List of positive integer factors of 31375 that divides 31375 without a remainder.

1, 5, 25, 125, 251, 1255, 6275

Step-4: Factors of 31380

List of positive integer factors of 31380 that divides 31375 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 523, 1046, 1569, 2092, 2615, 3138, 5230, 6276, 7845, 10460, 15690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31375 and 31380. The biggest common factor number is the GCF number.
So the greatest common factor 31375 and 31380 is 5.

Also check out the Least Common Multiple of 31375 and 31380