What is the Greatest Common Factor of 59619 and 59633?

Greatest common factor (GCF) of 59619 and 59633 is 7.

GCF(59619,59633) = 7

We will now calculate the prime factors of 59619 and 59633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59619 and 59633.

How to find the GCF of 59619 and 59633?

We will first find the prime factorization of 59619 and 59633. After we will calculate the factors of 59619 and 59633 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 59633

Prime factors of 59633 are 7, 1217. Prime factorization of 59633 in exponential form is:

59633 = 7² × 1217¹

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 59633

List of positive integer factors of 59633 that divides 59619 without a remainder.

1, 7, 49, 1217, 8519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59619 and 59633. The biggest common factor number is the GCF number.
So the greatest common factor 59619 and 59633 is 7.

Also check out the Least Common Multiple of 59619 and 59633