What is the Greatest Common Factor of 60264 and 60282?

Greatest common factor (GCF) of 60264 and 60282 is 18.

GCF(60264,60282) = 18

We will now calculate the prime factors of 60264 and 60282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60264 and 60282.

How to find the GCF of 60264 and 60282?

We will first find the prime factorization of 60264 and 60282. After we will calculate the factors of 60264 and 60282 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 60282

Prime factors of 60282 are 2, 3, 17, 197. Prime factorization of 60282 in exponential form is:

60282 = 2¹ × 3² × 17¹ × 197¹

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 60282

List of positive integer factors of 60282 that divides 60264 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 197, 306, 394, 591, 1182, 1773, 3349, 3546, 6698, 10047, 20094, 30141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60264 and 60282. The biggest common factor number is the GCF number.
So the greatest common factor 60264 and 60282 is 18.

Also check out the Least Common Multiple of 60264 and 60282