What is the Greatest Common Factor of 58982 and 58996?

Greatest common factor (GCF) of 58982 and 58996 is 14.

GCF(58982,58996) = 14

We will now calculate the prime factors of 58982 and 58996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58982 and 58996.

How to find the GCF of 58982 and 58996?

We will first find the prime factorization of 58982 and 58996. After we will calculate the factors of 58982 and 58996 and find the biggest common factor number .

Step-1: Prime Factorization of 58982

Prime factors of 58982 are 2, 7, 11, 383. Prime factorization of 58982 in exponential form is:

58982 = 2¹ × 7¹ × 11¹ × 383¹

Step-2: Prime Factorization of 58996

Prime factors of 58996 are 2, 7, 43. Prime factorization of 58996 in exponential form is:

58996 = 2² × 7³ × 43¹

Step-3: Factors of 58982

List of positive integer factors of 58982 that divides 58982 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 383, 766, 2681, 4213, 5362, 8426, 29491

Step-4: Factors of 58996

List of positive integer factors of 58996 that divides 58982 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 343, 602, 686, 1204, 1372, 2107, 4214, 8428, 14749, 29498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58982 and 58996. The biggest common factor number is the GCF number.
So the greatest common factor 58982 and 58996 is 14.

Also check out the Least Common Multiple of 58982 and 58996