What is the Greatest Common Factor of 60528 and 60540?

Greatest common factor (GCF) of 60528 and 60540 is 12.

GCF(60528,60540) = 12

We will now calculate the prime factors of 60528 and 60540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60528 and 60540.

How to find the GCF of 60528 and 60540?

We will first find the prime factorization of 60528 and 60540. After we will calculate the factors of 60528 and 60540 and find the biggest common factor number .

Step-1: Prime Factorization of 60528

Prime factors of 60528 are 2, 3, 13, 97. Prime factorization of 60528 in exponential form is:

60528 = 2⁴ × 3¹ × 13¹ × 97¹

Step-2: Prime Factorization of 60540

Prime factors of 60540 are 2, 3, 5, 1009. Prime factorization of 60540 in exponential form is:

60540 = 2² × 3¹ × 5¹ × 1009¹

Step-3: Factors of 60528

List of positive integer factors of 60528 that divides 60528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 97, 104, 156, 194, 208, 291, 312, 388, 582, 624, 776, 1164, 1261, 1552, 2328, 2522, 3783, 4656, 5044, 7566, 10088, 15132, 20176, 30264

Step-4: Factors of 60540

List of positive integer factors of 60540 that divides 60528 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036, 5045, 6054, 10090, 12108, 15135, 20180, 30270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60528 and 60540. The biggest common factor number is the GCF number.
So the greatest common factor 60528 and 60540 is 12.

Also check out the Least Common Multiple of 60528 and 60540