What is the Greatest Common Factor of 59613 and 59622?

Greatest common factor (GCF) of 59613 and 59622 is 3.

GCF(59613,59622) = 3

We will now calculate the prime factors of 59613 and 59622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59613 and 59622.

How to find the GCF of 59613 and 59622?

We will first find the prime factorization of 59613 and 59622. After we will calculate the factors of 59613 and 59622 and find the biggest common factor number .

Step-1: Prime Factorization of 59613

Prime factors of 59613 are 3, 31, 641. Prime factorization of 59613 in exponential form is:

59613 = 3¹ × 31¹ × 641¹

Step-2: Prime Factorization of 59622

Prime factors of 59622 are 2, 3, 19, 523. Prime factorization of 59622 in exponential form is:

59622 = 2¹ × 3¹ × 19¹ × 523¹

Step-3: Factors of 59613

List of positive integer factors of 59613 that divides 59613 without a remainder.

1, 3, 31, 93, 641, 1923, 19871

Step-4: Factors of 59622

List of positive integer factors of 59622 that divides 59613 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 523, 1046, 1569, 3138, 9937, 19874, 29811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59613 and 59622. The biggest common factor number is the GCF number.
So the greatest common factor 59613 and 59622 is 3.

Also check out the Least Common Multiple of 59613 and 59622