What is the Greatest Common Factor of 60513 and 60528?

Greatest common factor (GCF) of 60513 and 60528 is 3.

GCF(60513,60528) = 3

We will now calculate the prime factors of 60513 and 60528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60513 and 60528.

How to find the GCF of 60513 and 60528?

We will first find the prime factorization of 60513 and 60528. After we will calculate the factors of 60513 and 60528 and find the biggest common factor number .

Step-1: Prime Factorization of 60513

Prime factors of 60513 are 3, 23, 877. Prime factorization of 60513 in exponential form is:

60513 = 3¹ × 23¹ × 877¹

Step-2: 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-3: Factors of 60513

List of positive integer factors of 60513 that divides 60513 without a remainder.

1, 3, 23, 69, 877, 2631, 20171

Step-4: Factors of 60528

List of positive integer factors of 60528 that divides 60513 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60513 and 60528. The biggest common factor number is the GCF number.
So the greatest common factor 60513 and 60528 is 3.

Also check out the Least Common Multiple of 60513 and 60528