What is the Greatest Common Factor of 60546 and 60552?

Greatest common factor (GCF) of 60546 and 60552 is 6.

GCF(60546,60552) = 6

We will now calculate the prime factors of 60546 and 60552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60546 and 60552.

How to find the GCF of 60546 and 60552?

We will first find the prime factorization of 60546 and 60552. After we will calculate the factors of 60546 and 60552 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 60552

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

60552 = 2³ × 3² × 29²

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 60552

List of positive integer factors of 60552 that divides 60546 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60546 and 60552. The biggest common factor number is the GCF number.
So the greatest common factor 60546 and 60552 is 6.

Also check out the Least Common Multiple of 60546 and 60552