What is the Greatest Common Factor of 56990 and 57005?

Greatest common factor (GCF) of 56990 and 57005 is 5.

GCF(56990,57005) = 5

We will now calculate the prime factors of 56990 and 57005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56990 and 57005.

How to find the GCF of 56990 and 57005?

We will first find the prime factorization of 56990 and 57005. After we will calculate the factors of 56990 and 57005 and find the biggest common factor number .

Step-1: Prime Factorization of 56990

Prime factors of 56990 are 2, 5, 41, 139. Prime factorization of 56990 in exponential form is:

56990 = 2¹ × 5¹ × 41¹ × 139¹

Step-2: Prime Factorization of 57005

Prime factors of 57005 are 5, 13, 877. Prime factorization of 57005 in exponential form is:

57005 = 5¹ × 13¹ × 877¹

Step-3: Factors of 56990

List of positive integer factors of 56990 that divides 56990 without a remainder.

1, 2, 5, 10, 41, 82, 139, 205, 278, 410, 695, 1390, 5699, 11398, 28495

Step-4: Factors of 57005

List of positive integer factors of 57005 that divides 56990 without a remainder.

1, 5, 13, 65, 877, 4385, 11401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56990 and 57005. The biggest common factor number is the GCF number.
So the greatest common factor 56990 and 57005 is 5.

Also check out the Least Common Multiple of 56990 and 57005