What is the Greatest Common Factor of 60624 and 60633?

Greatest common factor (GCF) of 60624 and 60633 is 9.

GCF(60624,60633) = 9

We will now calculate the prime factors of 60624 and 60633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60624 and 60633.

How to find the GCF of 60624 and 60633?

We will first find the prime factorization of 60624 and 60633. After we will calculate the factors of 60624 and 60633 and find the biggest common factor number .

Step-1: Prime Factorization of 60624

Prime factors of 60624 are 2, 3, 421. Prime factorization of 60624 in exponential form is:

60624 = 2⁴ × 3² × 421¹

Step-2: Prime Factorization of 60633

Prime factors of 60633 are 3, 6737. Prime factorization of 60633 in exponential form is:

60633 = 3² × 6737¹

Step-3: Factors of 60624

List of positive integer factors of 60624 that divides 60624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 421, 842, 1263, 1684, 2526, 3368, 3789, 5052, 6736, 7578, 10104, 15156, 20208, 30312

Step-4: Factors of 60633

List of positive integer factors of 60633 that divides 60624 without a remainder.

1, 3, 9, 6737, 20211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60624 and 60633. The biggest common factor number is the GCF number.
So the greatest common factor 60624 and 60633 is 9.

Also check out the Least Common Multiple of 60624 and 60633