What is the Greatest Common Factor of 44455 and 44472?

Greatest common factor (GCF) of 44455 and 44472 is 17.

GCF(44455,44472) = 17

We will now calculate the prime factors of 44455 and 44472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44455 and 44472.

How to find the GCF of 44455 and 44472?

We will first find the prime factorization of 44455 and 44472. After we will calculate the factors of 44455 and 44472 and find the biggest common factor number .

Step-1: Prime Factorization of 44455

Prime factors of 44455 are 5, 17, 523. Prime factorization of 44455 in exponential form is:

44455 = 5¹ × 17¹ × 523¹

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 44455

List of positive integer factors of 44455 that divides 44455 without a remainder.

1, 5, 17, 85, 523, 2615, 8891

Step-4: Factors of 44472

List of positive integer factors of 44472 that divides 44455 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 44455 and 44472. The biggest common factor number is the GCF number.
So the greatest common factor 44455 and 44472 is 17.

Also check out the Least Common Multiple of 44455 and 44472