What is the Greatest Common Factor of 60498 and 60513?

Greatest common factor (GCF) of 60498 and 60513 is 3.

GCF(60498,60513) = 3

We will now calculate the prime factors of 60498 and 60513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60498 and 60513.

How to find the GCF of 60498 and 60513?

We will first find the prime factorization of 60498 and 60513. After we will calculate the factors of 60498 and 60513 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 60513

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

60513 = 3¹ × 23¹ × 877¹

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 60513

List of positive integer factors of 60513 that divides 60498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60498 and 60513. The biggest common factor number is the GCF number.
So the greatest common factor 60498 and 60513 is 3.

Also check out the Least Common Multiple of 60498 and 60513