What is the Greatest Common Factor of 60261 and 60276?

Greatest common factor (GCF) of 60261 and 60276 is 3.

GCF(60261,60276) = 3

We will now calculate the prime factors of 60261 and 60276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60261 and 60276.

How to find the GCF of 60261 and 60276?

We will first find the prime factorization of 60261 and 60276. After we will calculate the factors of 60261 and 60276 and find the biggest common factor number .

Step-1: Prime Factorization of 60261

Prime factors of 60261 are 3, 53, 379. Prime factorization of 60261 in exponential form is:

60261 = 3¹ × 53¹ × 379¹

Step-2: Prime Factorization of 60276

Prime factors of 60276 are 2, 3, 5023. Prime factorization of 60276 in exponential form is:

60276 = 2² × 3¹ × 5023¹

Step-3: Factors of 60261

List of positive integer factors of 60261 that divides 60261 without a remainder.

1, 3, 53, 159, 379, 1137, 20087

Step-4: Factors of 60276

List of positive integer factors of 60276 that divides 60261 without a remainder.

1, 2, 3, 4, 6, 12, 5023, 10046, 15069, 20092, 30138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60261 and 60276. The biggest common factor number is the GCF number.
So the greatest common factor 60261 and 60276 is 3.

Also check out the Least Common Multiple of 60261 and 60276