What is the Greatest Common Factor of 60552 and 60561?

Greatest common factor (GCF) of 60552 and 60561 is 9.

GCF(60552,60561) = 9

We will now calculate the prime factors of 60552 and 60561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60552 and 60561.

How to find the GCF of 60552 and 60561?

We will first find the prime factorization of 60552 and 60561. After we will calculate the factors of 60552 and 60561 and find the biggest common factor number .

Step-1: Prime Factorization of 60552

Prime factors of 60552 are 2, 3, 29. Prime factorization of 60552 in exponential form is:

60552 = 2³ × 3² × 29²

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 60552

List of positive integer factors of 60552 that divides 60552 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 841, 1044, 1682, 2088, 2523, 3364, 5046, 6728, 7569, 10092, 15138, 20184, 30276

Step-4: Factors of 60561

List of positive integer factors of 60561 that divides 60552 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60552 and 60561. The biggest common factor number is the GCF number.
So the greatest common factor 60552 and 60561 is 9.

Also check out the Least Common Multiple of 60552 and 60561