What is the Greatest Common Factor of 60624 and 60636?

Greatest common factor (GCF) of 60624 and 60636 is 12.

GCF(60624,60636) = 12

We will now calculate the prime factors of 60624 and 60636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60624 and 60636.

How to find the GCF of 60624 and 60636?

We will first find the prime factorization of 60624 and 60636. After we will calculate the factors of 60624 and 60636 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 60636

Prime factors of 60636 are 2, 3, 31, 163. Prime factorization of 60636 in exponential form is:

60636 = 2² × 3¹ × 31¹ × 163¹

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 60636

List of positive integer factors of 60636 that divides 60624 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 163, 186, 326, 372, 489, 652, 978, 1956, 5053, 10106, 15159, 20212, 30318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60624 and 60636. The biggest common factor number is the GCF number.
So the greatest common factor 60624 and 60636 is 12.

Also check out the Least Common Multiple of 60624 and 60636