What is the Greatest Common Factor of 57980 and 57998?

Greatest common factor (GCF) of 57980 and 57998 is 2.

GCF(57980,57998) = 2

We will now calculate the prime factors of 57980 and 57998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57980 and 57998.

How to find the GCF of 57980 and 57998?

We will first find the prime factorization of 57980 and 57998. After we will calculate the factors of 57980 and 57998 and find the biggest common factor number .

Step-1: Prime Factorization of 57980

Prime factors of 57980 are 2, 5, 13, 223. Prime factorization of 57980 in exponential form is:

57980 = 2² × 5¹ × 13¹ × 223¹

Step-2: Prime Factorization of 57998

Prime factors of 57998 are 2, 47, 617. Prime factorization of 57998 in exponential form is:

57998 = 2¹ × 47¹ × 617¹

Step-3: Factors of 57980

List of positive integer factors of 57980 that divides 57980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 223, 260, 446, 892, 1115, 2230, 2899, 4460, 5798, 11596, 14495, 28990

Step-4: Factors of 57998

List of positive integer factors of 57998 that divides 57980 without a remainder.

1, 2, 47, 94, 617, 1234, 28999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57980 and 57998. The biggest common factor number is the GCF number.
So the greatest common factor 57980 and 57998 is 2.

Also check out the Least Common Multiple of 57980 and 57998