What is the Greatest Common Factor of 31135 and 31148?

Greatest common factor (GCF) of 31135 and 31148 is 13.

GCF(31135,31148) = 13

We will now calculate the prime factors of 31135 and 31148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31135 and 31148.

How to find the GCF of 31135 and 31148?

We will first find the prime factorization of 31135 and 31148. After we will calculate the factors of 31135 and 31148 and find the biggest common factor number .

Step-1: Prime Factorization of 31135

Prime factors of 31135 are 5, 13, 479. Prime factorization of 31135 in exponential form is:

31135 = 5¹ × 13¹ × 479¹

Step-2: Prime Factorization of 31148

Prime factors of 31148 are 2, 13, 599. Prime factorization of 31148 in exponential form is:

31148 = 2² × 13¹ × 599¹

Step-3: Factors of 31135

List of positive integer factors of 31135 that divides 31135 without a remainder.

1, 5, 13, 65, 479, 2395, 6227

Step-4: Factors of 31148

List of positive integer factors of 31148 that divides 31135 without a remainder.

1, 2, 4, 13, 26, 52, 599, 1198, 2396, 7787, 15574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31135 and 31148. The biggest common factor number is the GCF number.
So the greatest common factor 31135 and 31148 is 13.

Also check out the Least Common Multiple of 31135 and 31148