What is the Greatest Common Factor of 60264 and 60270?

Greatest common factor (GCF) of 60264 and 60270 is 6.

GCF(60264,60270) = 6

We will now calculate the prime factors of 60264 and 60270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60264 and 60270.

How to find the GCF of 60264 and 60270?

We will first find the prime factorization of 60264 and 60270. After we will calculate the factors of 60264 and 60270 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 60270

Prime factors of 60270 are 2, 3, 5, 7, 41. Prime factorization of 60270 in exponential form is:

60270 = 2¹ × 3¹ × 5¹ × 7² × 41¹

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 60270

List of positive integer factors of 60270 that divides 60264 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 49, 70, 82, 98, 105, 123, 147, 205, 210, 245, 246, 287, 294, 410, 490, 574, 615, 735, 861, 1230, 1435, 1470, 1722, 2009, 2870, 4018, 4305, 6027, 8610, 10045, 12054, 20090, 30135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60264 and 60270. The biggest common factor number is the GCF number.
So the greatest common factor 60264 and 60270 is 6.

Also check out the Least Common Multiple of 60264 and 60270