What is the Greatest Common Factor of 57980 and 57990?

Greatest common factor (GCF) of 57980 and 57990 is 10.

GCF(57980,57990) = 10

We will now calculate the prime factors of 57980 and 57990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57980 and 57990.

How to find the GCF of 57980 and 57990?

We will first find the prime factorization of 57980 and 57990. After we will calculate the factors of 57980 and 57990 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 57990

Prime factors of 57990 are 2, 3, 5, 1933. Prime factorization of 57990 in exponential form is:

57990 = 2¹ × 3¹ × 5¹ × 1933¹

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 57990

List of positive integer factors of 57990 that divides 57980 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1933, 3866, 5799, 9665, 11598, 19330, 28995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57980 and 57990. The biggest common factor number is the GCF number.
So the greatest common factor 57980 and 57990 is 10.

Also check out the Least Common Multiple of 57980 and 57990