What is the Greatest Common Factor of 60432 and 60438?

Greatest common factor (GCF) of 60432 and 60438 is 6.

GCF(60432,60438) = 6

We will now calculate the prime factors of 60432 and 60438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60432 and 60438.

How to find the GCF of 60432 and 60438?

We will first find the prime factorization of 60432 and 60438. After we will calculate the factors of 60432 and 60438 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 60438

Prime factors of 60438 are 2, 3, 7, 1439. Prime factorization of 60438 in exponential form is:

60438 = 2¹ × 3¹ × 7¹ × 1439¹

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 60438

List of positive integer factors of 60438 that divides 60432 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1439, 2878, 4317, 8634, 10073, 20146, 30219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60432 and 60438. The biggest common factor number is the GCF number.
So the greatest common factor 60432 and 60438 is 6.

Also check out the Least Common Multiple of 60432 and 60438