What is the Greatest Common Factor of 60498 and 60516?

Greatest common factor (GCF) of 60498 and 60516 is 18.

GCF(60498,60516) = 18

We will now calculate the prime factors of 60498 and 60516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60498 and 60516.

How to find the GCF of 60498 and 60516?

We will first find the prime factorization of 60498 and 60516. After we will calculate the factors of 60498 and 60516 and find the biggest common factor number .

Step-1: Prime Factorization of 60498

Prime factors of 60498 are 2, 3, 3361. Prime factorization of 60498 in exponential form is:

60498 = 2¹ × 3² × 3361¹

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 60498

List of positive integer factors of 60498 that divides 60498 without a remainder.

1, 2, 3, 6, 9, 18, 3361, 6722, 10083, 20166, 30249

Step-4: Factors of 60516

List of positive integer factors of 60516 that divides 60498 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 60498 and 60516. The biggest common factor number is the GCF number.
So the greatest common factor 60498 and 60516 is 18.

Also check out the Least Common Multiple of 60498 and 60516