What is the Greatest Common Factor of 59667 and 59676?

Greatest common factor (GCF) of 59667 and 59676 is 3.

GCF(59667,59676) = 3

We will now calculate the prime factors of 59667 and 59676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59667 and 59676.

How to find the GCF of 59667 and 59676?

We will first find the prime factorization of 59667 and 59676. After we will calculate the factors of 59667 and 59676 and find the biggest common factor number .

Step-1: Prime Factorization of 59667

Prime factors of 59667 are 3, 19889. Prime factorization of 59667 in exponential form is:

59667 = 3¹ × 19889¹

Step-2: Prime Factorization of 59676

Prime factors of 59676 are 2, 3, 4973. Prime factorization of 59676 in exponential form is:

59676 = 2² × 3¹ × 4973¹

Step-3: Factors of 59667

List of positive integer factors of 59667 that divides 59667 without a remainder.

1, 3, 19889

Step-4: Factors of 59676

List of positive integer factors of 59676 that divides 59667 without a remainder.

1, 2, 3, 4, 6, 12, 4973, 9946, 14919, 19892, 29838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59667 and 59676. The biggest common factor number is the GCF number.
So the greatest common factor 59667 and 59676 is 3.

Also check out the Least Common Multiple of 59667 and 59676