What is the Greatest Common Factor of 57080 and 57097?

Greatest common factor (GCF) of 57080 and 57097 is 1.

GCF(57080,57097) = 1

We will now calculate the prime factors of 57080 and 57097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57080 and 57097.

How to find the GCF of 57080 and 57097?

We will first find the prime factorization of 57080 and 57097. After we will calculate the factors of 57080 and 57097 and find the biggest common factor number .

Step-1: Prime Factorization of 57080

Prime factors of 57080 are 2, 5, 1427. Prime factorization of 57080 in exponential form is:

57080 = 2³ × 5¹ × 1427¹

Step-2: Prime Factorization of 57097

Prime factors of 57097 are 57097. Prime factorization of 57097 in exponential form is:

57097 = 57097¹

Step-3: Factors of 57080

List of positive integer factors of 57080 that divides 57080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1427, 2854, 5708, 7135, 11416, 14270, 28540

Step-4: Factors of 57097

List of positive integer factors of 57097 that divides 57080 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57080 and 57097. The biggest common factor number is the GCF number.
So the greatest common factor 57080 and 57097 is 1.

Also check out the Least Common Multiple of 57080 and 57097