What is the Greatest Common Factor of 66432 and 66444?

Greatest common factor (GCF) of 66432 and 66444 is 12.

GCF(66432,66444) = 12

We will now calculate the prime factors of 66432 and 66444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66432 and 66444.

How to find the GCF of 66432 and 66444?

We will first find the prime factorization of 66432 and 66444. After we will calculate the factors of 66432 and 66444 and find the biggest common factor number .

Step-1: Prime Factorization of 66432

Prime factors of 66432 are 2, 3, 173. Prime factorization of 66432 in exponential form is:

66432 = 2⁷ × 3¹ × 173¹

Step-2: Prime Factorization of 66444

Prime factors of 66444 are 2, 3, 7, 113. Prime factorization of 66444 in exponential form is:

66444 = 2² × 3¹ × 7² × 113¹

Step-3: Factors of 66432

List of positive integer factors of 66432 that divides 66432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 173, 192, 346, 384, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 22144, 33216

Step-4: Factors of 66444

List of positive integer factors of 66444 that divides 66432 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 113, 147, 196, 226, 294, 339, 452, 588, 678, 791, 1356, 1582, 2373, 3164, 4746, 5537, 9492, 11074, 16611, 22148, 33222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66432 and 66444. The biggest common factor number is the GCF number.
So the greatest common factor 66432 and 66444 is 12.

Also check out the Least Common Multiple of 66432 and 66444