What is the Greatest Common Factor of 59619 and 59628?

Greatest common factor (GCF) of 59619 and 59628 is 3.

GCF(59619,59628) = 3

We will now calculate the prime factors of 59619 and 59628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59619 and 59628.

How to find the GCF of 59619 and 59628?

We will first find the prime factorization of 59619 and 59628. After we will calculate the factors of 59619 and 59628 and find the biggest common factor number .

Step-1: Prime Factorization of 59619

Prime factors of 59619 are 3, 7, 17, 167. Prime factorization of 59619 in exponential form is:

59619 = 3¹ × 7¹ × 17¹ × 167¹

Step-2: Prime Factorization of 59628

Prime factors of 59628 are 2, 3, 4969. Prime factorization of 59628 in exponential form is:

59628 = 2² × 3¹ × 4969¹

Step-3: Factors of 59619

List of positive integer factors of 59619 that divides 59619 without a remainder.

1, 3, 7, 17, 21, 51, 119, 167, 357, 501, 1169, 2839, 3507, 8517, 19873

Step-4: Factors of 59628

List of positive integer factors of 59628 that divides 59619 without a remainder.

1, 2, 3, 4, 6, 12, 4969, 9938, 14907, 19876, 29814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59619 and 59628. The biggest common factor number is the GCF number.
So the greatest common factor 59619 and 59628 is 3.

Also check out the Least Common Multiple of 59619 and 59628