What is the Greatest Common Factor of 58962 and 58982?

Greatest common factor (GCF) of 58962 and 58982 is 2.

GCF(58962,58982) = 2

We will now calculate the prime factors of 58962 and 58982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58962 and 58982.

How to find the GCF of 58962 and 58982?

We will first find the prime factorization of 58962 and 58982. After we will calculate the factors of 58962 and 58982 and find the biggest common factor number .

Step-1: Prime Factorization of 58962

Prime factors of 58962 are 2, 3, 31, 317. Prime factorization of 58962 in exponential form is:

58962 = 2¹ × 3¹ × 31¹ × 317¹

Step-2: 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-3: Factors of 58962

List of positive integer factors of 58962 that divides 58962 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 317, 634, 951, 1902, 9827, 19654, 29481

Step-4: Factors of 58982

List of positive integer factors of 58982 that divides 58962 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58962 and 58982. The biggest common factor number is the GCF number.
So the greatest common factor 58962 and 58982 is 2.

Also check out the Least Common Multiple of 58962 and 58982