What is the Greatest Common Factor of 60624 and 60638?

Greatest common factor (GCF) of 60624 and 60638 is 2.

GCF(60624,60638) = 2

We will now calculate the prime factors of 60624 and 60638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60624 and 60638.

How to find the GCF of 60624 and 60638?

We will first find the prime factorization of 60624 and 60638. After we will calculate the factors of 60624 and 60638 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 60638

Prime factors of 60638 are 2, 30319. Prime factorization of 60638 in exponential form is:

60638 = 2¹ × 30319¹

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 60638

List of positive integer factors of 60638 that divides 60624 without a remainder.

1, 2, 30319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60624 and 60638. The biggest common factor number is the GCF number.
So the greatest common factor 60624 and 60638 is 2.

Also check out the Least Common Multiple of 60624 and 60638