What is the Greatest Common Factor of 59969 and 59982?

Greatest common factor (GCF) of 59969 and 59982 is 13.

GCF(59969,59982) = 13

We will now calculate the prime factors of 59969 and 59982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59969 and 59982.

How to find the GCF of 59969 and 59982?

We will first find the prime factorization of 59969 and 59982. After we will calculate the factors of 59969 and 59982 and find the biggest common factor number .

Step-1: Prime Factorization of 59969

Prime factors of 59969 are 7, 13, 659. Prime factorization of 59969 in exponential form is:

59969 = 7¹ × 13¹ × 659¹

Step-2: Prime Factorization of 59982

Prime factors of 59982 are 2, 3, 13, 769. Prime factorization of 59982 in exponential form is:

59982 = 2¹ × 3¹ × 13¹ × 769¹

Step-3: Factors of 59969

List of positive integer factors of 59969 that divides 59969 without a remainder.

1, 7, 13, 91, 659, 4613, 8567

Step-4: Factors of 59982

List of positive integer factors of 59982 that divides 59969 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 769, 1538, 2307, 4614, 9997, 19994, 29991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59969 and 59982. The biggest common factor number is the GCF number.
So the greatest common factor 59969 and 59982 is 13.

Also check out the Least Common Multiple of 59969 and 59982