What is the Greatest Common Factor of 60534 and 60552?

Greatest common factor (GCF) of 60534 and 60552 is 18.

GCF(60534,60552) = 18

We will now calculate the prime factors of 60534 and 60552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60534 and 60552.

How to find the GCF of 60534 and 60552?

We will first find the prime factorization of 60534 and 60552. After we will calculate the factors of 60534 and 60552 and find the biggest common factor number .

Step-1: Prime Factorization of 60534

Prime factors of 60534 are 2, 3, 19, 59. Prime factorization of 60534 in exponential form is:

60534 = 2¹ × 3³ × 19¹ × 59¹

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 60534

List of positive integer factors of 60534 that divides 60534 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 59, 114, 118, 171, 177, 342, 354, 513, 531, 1026, 1062, 1121, 1593, 2242, 3186, 3363, 6726, 10089, 20178, 30267

Step-4: Factors of 60552

List of positive integer factors of 60552 that divides 60534 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 60534 and 60552. The biggest common factor number is the GCF number.
So the greatest common factor 60534 and 60552 is 18.

Also check out the Least Common Multiple of 60534 and 60552