What is the Greatest Common Factor of 57119 and 57138?

Greatest common factor (GCF) of 57119 and 57138 is 1.

GCF(57119,57138) = 1

We will now calculate the prime factors of 57119 and 57138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57119 and 57138.

How to find the GCF of 57119 and 57138?

We will first find the prime factorization of 57119 and 57138. After we will calculate the factors of 57119 and 57138 and find the biggest common factor number .

Step-1: Prime Factorization of 57119

Prime factors of 57119 are 57119. Prime factorization of 57119 in exponential form is:

57119 = 57119¹

Step-2: Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 2¹ × 3¹ × 89¹ × 107¹

Step-3: Factors of 57119

List of positive integer factors of 57119 that divides 57119 without a remainder.

Step-4: Factors of 57138

List of positive integer factors of 57138 that divides 57119 without a remainder.

1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57119 and 57138. The biggest common factor number is the GCF number.
So the greatest common factor 57119 and 57138 is 1.

Also check out the Least Common Multiple of 57119 and 57138