What is the Greatest Common Factor of 60507 and 60516?

Greatest common factor (GCF) of 60507 and 60516 is 9.

GCF(60507,60516) = 9

We will now calculate the prime factors of 60507 and 60516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60507 and 60516.

How to find the GCF of 60507 and 60516?

We will first find the prime factorization of 60507 and 60516. After we will calculate the factors of 60507 and 60516 and find the biggest common factor number .

Step-1: Prime Factorization of 60507

Prime factors of 60507 are 3, 83. Prime factorization of 60507 in exponential form is:

60507 = 3⁶ × 83¹

Step-2: Prime Factorization of 60516

Prime factors of 60516 are 2, 3, 41. Prime factorization of 60516 in exponential form is:

60516 = 2² × 3² × 41²

Step-3: Factors of 60507

List of positive integer factors of 60507 that divides 60507 without a remainder.

1, 3, 9, 27, 81, 83, 243, 249, 729, 747, 2241, 6723, 20169

Step-4: Factors of 60516

List of positive integer factors of 60516 that divides 60507 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476, 1681, 3362, 5043, 6724, 10086, 15129, 20172, 30258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60507 and 60516. The biggest common factor number is the GCF number.
So the greatest common factor 60507 and 60516 is 9.

Also check out the Least Common Multiple of 60507 and 60516