What is the Greatest Common Factor of 31128 and 31135?

Greatest common factor (GCF) of 31128 and 31135 is 1.

GCF(31128,31135) = 1

We will now calculate the prime factors of 31128 and 31135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31128 and 31135.

How to find the GCF of 31128 and 31135?

We will first find the prime factorization of 31128 and 31135. After we will calculate the factors of 31128 and 31135 and find the biggest common factor number .

Step-1: Prime Factorization of 31128

Prime factors of 31128 are 2, 3, 1297. Prime factorization of 31128 in exponential form is:

31128 = 2³ × 3¹ × 1297¹

Step-2: 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-3: Factors of 31128

List of positive integer factors of 31128 that divides 31128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1297, 2594, 3891, 5188, 7782, 10376, 15564

Step-4: Factors of 31135

List of positive integer factors of 31135 that divides 31128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31128 and 31135. The biggest common factor number is the GCF number.
So the greatest common factor 31128 and 31135 is 1.

Also check out the Least Common Multiple of 31128 and 31135