What is the Greatest Common Factor of 60438 and 60456?

Greatest common factor (GCF) of 60438 and 60456 is 6.

GCF(60438,60456) = 6

We will now calculate the prime factors of 60438 and 60456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60438 and 60456.

How to find the GCF of 60438 and 60456?

We will first find the prime factorization of 60438 and 60456. After we will calculate the factors of 60438 and 60456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60456

Prime factors of 60456 are 2, 3, 11, 229. Prime factorization of 60456 in exponential form is:

60456 = 2³ × 3¹ × 11¹ × 229¹

Step-3: Factors of 60438

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

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

Step-4: Factors of 60456

List of positive integer factors of 60456 that divides 60438 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 229, 264, 458, 687, 916, 1374, 1832, 2519, 2748, 5038, 5496, 7557, 10076, 15114, 20152, 30228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60438 and 60456. The biggest common factor number is the GCF number.
So the greatest common factor 60438 and 60456 is 6.

Also check out the Least Common Multiple of 60438 and 60456