What is the Greatest Common Factor of 60552 and 60572?

Greatest common factor (GCF) of 60552 and 60572 is 4.

GCF(60552,60572) = 4

We will now calculate the prime factors of 60552 and 60572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60552 and 60572.

How to find the GCF of 60552 and 60572?

We will first find the prime factorization of 60552 and 60572. After we will calculate the factors of 60552 and 60572 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 60572

Prime factors of 60572 are 2, 19, 797. Prime factorization of 60572 in exponential form is:

60572 = 2² × 19¹ × 797¹

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 60572

List of positive integer factors of 60572 that divides 60552 without a remainder.

1, 2, 4, 19, 38, 76, 797, 1594, 3188, 15143, 30286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60552 and 60572. The biggest common factor number is the GCF number.
So the greatest common factor 60552 and 60572 is 4.

Also check out the Least Common Multiple of 60552 and 60572