What is the Greatest Common Factor of 59956 and 59969?

Greatest common factor (GCF) of 59956 and 59969 is 13.

GCF(59956,59969) = 13

We will now calculate the prime factors of 59956 and 59969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59956 and 59969.

How to find the GCF of 59956 and 59969?

We will first find the prime factorization of 59956 and 59969. After we will calculate the factors of 59956 and 59969 and find the biggest common factor number .

Step-1: Prime Factorization of 59956

Prime factors of 59956 are 2, 13, 1153. Prime factorization of 59956 in exponential form is:

59956 = 2² × 13¹ × 1153¹

Step-2: 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-3: Factors of 59956

List of positive integer factors of 59956 that divides 59956 without a remainder.

1, 2, 4, 13, 26, 52, 1153, 2306, 4612, 14989, 29978

Step-4: Factors of 59969

List of positive integer factors of 59969 that divides 59956 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59956 and 59969. The biggest common factor number is the GCF number.
So the greatest common factor 59956 and 59969 is 13.

Also check out the Least Common Multiple of 59956 and 59969