What is the Greatest Common Factor of 31075 and 31090?

Greatest common factor (GCF) of 31075 and 31090 is 5.

GCF(31075,31090) = 5

We will now calculate the prime factors of 31075 and 31090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31075 and 31090.

How to find the GCF of 31075 and 31090?

We will first find the prime factorization of 31075 and 31090. After we will calculate the factors of 31075 and 31090 and find the biggest common factor number .

Step-1: Prime Factorization of 31075

Prime factors of 31075 are 5, 11, 113. Prime factorization of 31075 in exponential form is:

31075 = 5² × 11¹ × 113¹

Step-2: Prime Factorization of 31090

Prime factors of 31090 are 2, 5, 3109. Prime factorization of 31090 in exponential form is:

31090 = 2¹ × 5¹ × 3109¹

Step-3: Factors of 31075

List of positive integer factors of 31075 that divides 31075 without a remainder.

1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215

Step-4: Factors of 31090

List of positive integer factors of 31090 that divides 31075 without a remainder.

1, 2, 5, 10, 3109, 6218, 15545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31075 and 31090. The biggest common factor number is the GCF number.
So the greatest common factor 31075 and 31090 is 5.

Also check out the Least Common Multiple of 31075 and 31090