What is the Greatest Common Factor of 60615 and 60624?

Greatest common factor (GCF) of 60615 and 60624 is 9.

GCF(60615,60624) = 9

We will now calculate the prime factors of 60615 and 60624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60615 and 60624.

How to find the GCF of 60615 and 60624?

We will first find the prime factorization of 60615 and 60624. After we will calculate the factors of 60615 and 60624 and find the biggest common factor number .

Step-1: Prime Factorization of 60615

Prime factors of 60615 are 3, 5, 449. Prime factorization of 60615 in exponential form is:

60615 = 3³ × 5¹ × 449¹

Step-2: 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-3: Factors of 60615

List of positive integer factors of 60615 that divides 60615 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 449, 1347, 2245, 4041, 6735, 12123, 20205

Step-4: Factors of 60624

List of positive integer factors of 60624 that divides 60615 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60615 and 60624. The biggest common factor number is the GCF number.
So the greatest common factor 60615 and 60624 is 9.

Also check out the Least Common Multiple of 60615 and 60624