What is the Greatest Common Factor of 57116 and 57135?

Greatest common factor (GCF) of 57116 and 57135 is 1.

GCF(57116,57135) = 1

We will now calculate the prime factors of 57116 and 57135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57116 and 57135.

How to find the GCF of 57116 and 57135?

We will first find the prime factorization of 57116 and 57135. After we will calculate the factors of 57116 and 57135 and find the biggest common factor number .

Step-1: Prime Factorization of 57116

Prime factors of 57116 are 2, 109, 131. Prime factorization of 57116 in exponential form is:

57116 = 2² × 109¹ × 131¹

Step-2: Prime Factorization of 57135

Prime factors of 57135 are 3, 5, 13, 293. Prime factorization of 57135 in exponential form is:

57135 = 3¹ × 5¹ × 13¹ × 293¹

Step-3: Factors of 57116

List of positive integer factors of 57116 that divides 57116 without a remainder.

1, 2, 4, 109, 131, 218, 262, 436, 524, 14279, 28558

Step-4: Factors of 57135

List of positive integer factors of 57135 that divides 57116 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 293, 879, 1465, 3809, 4395, 11427, 19045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57116 and 57135. The biggest common factor number is the GCF number.
So the greatest common factor 57116 and 57135 is 1.

Also check out the Least Common Multiple of 57116 and 57135