What is the Greatest Common Factor of 57080 and 57098?

Greatest common factor (GCF) of 57080 and 57098 is 2.

GCF(57080,57098) = 2

We will now calculate the prime factors of 57080 and 57098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57080 and 57098.

How to find the GCF of 57080 and 57098?

We will first find the prime factorization of 57080 and 57098. After we will calculate the factors of 57080 and 57098 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 57098

Prime factors of 57098 are 2, 28549. Prime factorization of 57098 in exponential form is:

57098 = 2¹ × 28549¹

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 57098

List of positive integer factors of 57098 that divides 57080 without a remainder.

1, 2, 28549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57080 and 57098. The biggest common factor number is the GCF number.
So the greatest common factor 57080 and 57098 is 2.

Also check out the Least Common Multiple of 57080 and 57098