What is the Greatest Common Factor of 57100 and 57107?

Greatest common factor (GCF) of 57100 and 57107 is 1.

GCF(57100,57107) = 1

We will now calculate the prime factors of 57100 and 57107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57100 and 57107.

How to find the GCF of 57100 and 57107?

We will first find the prime factorization of 57100 and 57107. After we will calculate the factors of 57100 and 57107 and find the biggest common factor number .

Step-1: Prime Factorization of 57100

Prime factors of 57100 are 2, 5, 571. Prime factorization of 57100 in exponential form is:

57100 = 2² × 5² × 571¹

Step-2: Prime Factorization of 57107

Prime factors of 57107 are 57107. Prime factorization of 57107 in exponential form is:

57107 = 57107¹

Step-3: Factors of 57100

List of positive integer factors of 57100 that divides 57100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 571, 1142, 2284, 2855, 5710, 11420, 14275, 28550

Step-4: Factors of 57107

List of positive integer factors of 57107 that divides 57100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57100 and 57107. The biggest common factor number is the GCF number.
So the greatest common factor 57100 and 57107 is 1.

Also check out the Least Common Multiple of 57100 and 57107