What is the Greatest Common Factor of 44457 and 44472?

Greatest common factor (GCF) of 44457 and 44472 is 3.

GCF(44457,44472) = 3

We will now calculate the prime factors of 44457 and 44472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44457 and 44472.

How to find the GCF of 44457 and 44472?

We will first find the prime factorization of 44457 and 44472. After we will calculate the factors of 44457 and 44472 and find the biggest common factor number .

Step-1: Prime Factorization of 44457

Prime factors of 44457 are 3, 7, 29, 73. Prime factorization of 44457 in exponential form is:

44457 = 3¹ × 7¹ × 29¹ × 73¹

Step-2: 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-3: Factors of 44457

List of positive integer factors of 44457 that divides 44457 without a remainder.

1, 3, 7, 21, 29, 73, 87, 203, 219, 511, 609, 1533, 2117, 6351, 14819

Step-4: Factors of 44472

List of positive integer factors of 44472 that divides 44457 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44457 and 44472. The biggest common factor number is the GCF number.
So the greatest common factor 44457 and 44472 is 3.

Also check out the Least Common Multiple of 44457 and 44472