What is the Greatest Common Factor of 58976 and 58981?

Greatest common factor (GCF) of 58976 and 58981 is 1.

GCF(58976,58981) = 1

We will now calculate the prime factors of 58976 and 58981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58976 and 58981.

How to find the GCF of 58976 and 58981?

We will first find the prime factorization of 58976 and 58981. After we will calculate the factors of 58976 and 58981 and find the biggest common factor number .

Step-1: Prime Factorization of 58976

Prime factors of 58976 are 2, 19, 97. Prime factorization of 58976 in exponential form is:

58976 = 2⁵ × 19¹ × 97¹

Step-2: Prime Factorization of 58981

Prime factors of 58981 are 13, 349. Prime factorization of 58981 in exponential form is:

58981 = 13² × 349¹

Step-3: Factors of 58976

List of positive integer factors of 58976 that divides 58976 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 97, 152, 194, 304, 388, 608, 776, 1552, 1843, 3104, 3686, 7372, 14744, 29488

Step-4: Factors of 58981

List of positive integer factors of 58981 that divides 58976 without a remainder.

1, 13, 169, 349, 4537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58976 and 58981. The biggest common factor number is the GCF number.
So the greatest common factor 58976 and 58981 is 1.

Also check out the Least Common Multiple of 58976 and 58981