What is the Greatest Common Factor of 60264 and 60272?

Greatest common factor (GCF) of 60264 and 60272 is 8.

GCF(60264,60272) = 8

We will now calculate the prime factors of 60264 and 60272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60264 and 60272.

How to find the GCF of 60264 and 60272?

We will first find the prime factorization of 60264 and 60272. After we will calculate the factors of 60264 and 60272 and find the biggest common factor number .

Step-1: Prime Factorization of 60264

Prime factors of 60264 are 2, 3, 31. Prime factorization of 60264 in exponential form is:

60264 = 2³ × 3⁵ × 31¹

Step-2: Prime Factorization of 60272

Prime factors of 60272 are 2, 3767. Prime factorization of 60272 in exponential form is:

60272 = 2⁴ × 3767¹

Step-3: Factors of 60264

List of positive integer factors of 60264 that divides 60264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 243, 248, 279, 324, 372, 486, 558, 648, 744, 837, 972, 1116, 1674, 1944, 2232, 2511, 3348, 5022, 6696, 7533, 10044, 15066, 20088, 30132

Step-4: Factors of 60272

List of positive integer factors of 60272 that divides 60264 without a remainder.

1, 2, 4, 8, 16, 3767, 7534, 15068, 30136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60264 and 60272. The biggest common factor number is the GCF number.
So the greatest common factor 60264 and 60272 is 8.

Also check out the Least Common Multiple of 60264 and 60272