What is the Greatest Common Factor of 60546 and 60561?

Greatest common factor (GCF) of 60546 and 60561 is 3.

GCF(60546,60561) = 3

We will now calculate the prime factors of 60546 and 60561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60546 and 60561.

How to find the GCF of 60546 and 60561?

We will first find the prime factorization of 60546 and 60561. After we will calculate the factors of 60546 and 60561 and find the biggest common factor number .

Step-1: Prime Factorization of 60546

Prime factors of 60546 are 2, 3, 10091. Prime factorization of 60546 in exponential form is:

60546 = 2¹ × 3¹ × 10091¹

Step-2: Prime Factorization of 60561

Prime factors of 60561 are 3, 2243. Prime factorization of 60561 in exponential form is:

60561 = 3³ × 2243¹

Step-3: Factors of 60546

List of positive integer factors of 60546 that divides 60546 without a remainder.

1, 2, 3, 6, 10091, 20182, 30273

Step-4: Factors of 60561

List of positive integer factors of 60561 that divides 60546 without a remainder.

1, 3, 9, 27, 2243, 6729, 20187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60546 and 60561. The biggest common factor number is the GCF number.
So the greatest common factor 60546 and 60561 is 3.

Also check out the Least Common Multiple of 60546 and 60561