What is the Greatest Common Factor of 59604 and 59622?

Greatest common factor (GCF) of 59604 and 59622 is 6.

GCF(59604,59622) = 6

We will now calculate the prime factors of 59604 and 59622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59604 and 59622.

How to find the GCF of 59604 and 59622?

We will first find the prime factorization of 59604 and 59622. After we will calculate the factors of 59604 and 59622 and find the biggest common factor number .

Step-1: Prime Factorization of 59604

Prime factors of 59604 are 2, 3, 4967. Prime factorization of 59604 in exponential form is:

59604 = 2² × 3¹ × 4967¹

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 59604

List of positive integer factors of 59604 that divides 59604 without a remainder.

1, 2, 3, 4, 6, 12, 4967, 9934, 14901, 19868, 29802

Step-4: Factors of 59622

List of positive integer factors of 59622 that divides 59604 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 59604 and 59622. The biggest common factor number is the GCF number.
So the greatest common factor 59604 and 59622 is 6.

Also check out the Least Common Multiple of 59604 and 59622