What is the Greatest Common Factor of 59622 and 59634?

Greatest common factor (GCF) of 59622 and 59634 is 6.

GCF(59622,59634) = 6

We will now calculate the prime factors of 59622 and 59634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59622 and 59634.

How to find the GCF of 59622 and 59634?

We will first find the prime factorization of 59622 and 59634. After we will calculate the factors of 59622 and 59634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59634

Prime factors of 59634 are 2, 3, 3313. Prime factorization of 59634 in exponential form is:

59634 = 2¹ × 3² × 3313¹

Step-3: Factors of 59622

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

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

Step-4: Factors of 59634

List of positive integer factors of 59634 that divides 59622 without a remainder.

1, 2, 3, 6, 9, 18, 3313, 6626, 9939, 19878, 29817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59622 and 59634. The biggest common factor number is the GCF number.
So the greatest common factor 59622 and 59634 is 6.

Also check out the Least Common Multiple of 59622 and 59634