What is the Greatest Common Factor of 60249 and 60264?

Greatest common factor (GCF) of 60249 and 60264 is 3.

GCF(60249,60264) = 3

We will now calculate the prime factors of 60249 and 60264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60249 and 60264.

How to find the GCF of 60249 and 60264?

We will first find the prime factorization of 60249 and 60264. After we will calculate the factors of 60249 and 60264 and find the biggest common factor number .

Step-1: Prime Factorization of 60249

Prime factors of 60249 are 3, 7, 19, 151. Prime factorization of 60249 in exponential form is:

60249 = 3¹ × 7¹ × 19¹ × 151¹

Step-2: 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-3: Factors of 60249

List of positive integer factors of 60249 that divides 60249 without a remainder.

1, 3, 7, 19, 21, 57, 133, 151, 399, 453, 1057, 2869, 3171, 8607, 20083

Step-4: Factors of 60264

List of positive integer factors of 60264 that divides 60249 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60249 and 60264. The biggest common factor number is the GCF number.
So the greatest common factor 60249 and 60264 is 3.

Also check out the Least Common Multiple of 60249 and 60264