What is the Greatest Common Factor of 60432 and 60444?

Greatest common factor (GCF) of 60432 and 60444 is 12.

GCF(60432,60444) = 12

We will now calculate the prime factors of 60432 and 60444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60432 and 60444.

How to find the GCF of 60432 and 60444?

We will first find the prime factorization of 60432 and 60444. After we will calculate the factors of 60432 and 60444 and find the biggest common factor number .

Step-1: Prime Factorization of 60432

Prime factors of 60432 are 2, 3, 1259. Prime factorization of 60432 in exponential form is:

60432 = 2⁴ × 3¹ × 1259¹

Step-2: Prime Factorization of 60444

Prime factors of 60444 are 2, 3, 23, 73. Prime factorization of 60444 in exponential form is:

60444 = 2² × 3² × 23¹ × 73¹

Step-3: Factors of 60432

List of positive integer factors of 60432 that divides 60432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1259, 2518, 3777, 5036, 7554, 10072, 15108, 20144, 30216

Step-4: Factors of 60444

List of positive integer factors of 60444 that divides 60432 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 73, 92, 138, 146, 207, 219, 276, 292, 414, 438, 657, 828, 876, 1314, 1679, 2628, 3358, 5037, 6716, 10074, 15111, 20148, 30222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60432 and 60444. The biggest common factor number is the GCF number.
So the greatest common factor 60432 and 60444 is 12.

Also check out the Least Common Multiple of 60432 and 60444