What is the Greatest Common Factor of 60420 and 60432?

Greatest common factor (GCF) of 60420 and 60432 is 12.

GCF(60420,60432) = 12

We will now calculate the prime factors of 60420 and 60432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60420 and 60432.

How to find the GCF of 60420 and 60432?

We will first find the prime factorization of 60420 and 60432. After we will calculate the factors of 60420 and 60432 and find the biggest common factor number .

Step-1: Prime Factorization of 60420

Prime factors of 60420 are 2, 3, 5, 19, 53. Prime factorization of 60420 in exponential form is:

60420 = 2² × 3¹ × 5¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 60420

List of positive integer factors of 60420 that divides 60420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 53, 57, 60, 76, 95, 106, 114, 159, 190, 212, 228, 265, 285, 318, 380, 530, 570, 636, 795, 1007, 1060, 1140, 1590, 2014, 3021, 3180, 4028, 5035, 6042, 10070, 12084, 15105, 20140, 30210

Step-4: Factors of 60432

List of positive integer factors of 60432 that divides 60420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60420 and 60432. The biggest common factor number is the GCF number.
So the greatest common factor 60420 and 60432 is 12.

Also check out the Least Common Multiple of 60420 and 60432