What is the Greatest Common Factor of 44472 and 44478?

Greatest common factor (GCF) of 44472 and 44478 is 6.

GCF(44472,44478) = 6

We will now calculate the prime factors of 44472 and 44478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44472 and 44478.

How to find the GCF of 44472 and 44478?

We will first find the prime factorization of 44472 and 44478. After we will calculate the factors of 44472 and 44478 and find the biggest common factor number .

Step-1: Prime Factorization of 44472

Prime factors of 44472 are 2, 3, 17, 109. Prime factorization of 44472 in exponential form is:

44472 = 2³ × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 44478

Prime factors of 44478 are 2, 3, 7, 353. Prime factorization of 44478 in exponential form is:

44478 = 2¹ × 3² × 7¹ × 353¹

Step-3: Factors of 44472

List of positive integer factors of 44472 that divides 44472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 109, 136, 204, 218, 327, 408, 436, 654, 872, 1308, 1853, 2616, 3706, 5559, 7412, 11118, 14824, 22236

Step-4: Factors of 44478

List of positive integer factors of 44478 that divides 44472 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 353, 706, 1059, 2118, 2471, 3177, 4942, 6354, 7413, 14826, 22239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44472 and 44478. The biggest common factor number is the GCF number.
So the greatest common factor 44472 and 44478 is 6.

Also check out the Least Common Multiple of 44472 and 44478