What is the Greatest Common Factor of 44997 and 45009?

Greatest common factor (GCF) of 44997 and 45009 is 3.

GCF(44997,45009) = 3

We will now calculate the prime factors of 44997 and 45009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44997 and 45009.

How to find the GCF of 44997 and 45009?

We will first find the prime factorization of 44997 and 45009. After we will calculate the factors of 44997 and 45009 and find the biggest common factor number .

Step-1: Prime Factorization of 44997

Prime factors of 44997 are 3, 53, 283. Prime factorization of 44997 in exponential form is:

44997 = 3¹ × 53¹ × 283¹

Step-2: Prime Factorization of 45009

Prime factors of 45009 are 3, 1667. Prime factorization of 45009 in exponential form is:

45009 = 3³ × 1667¹

Step-3: Factors of 44997

List of positive integer factors of 44997 that divides 44997 without a remainder.

1, 3, 53, 159, 283, 849, 14999

Step-4: Factors of 45009

List of positive integer factors of 45009 that divides 44997 without a remainder.

1, 3, 9, 27, 1667, 5001, 15003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44997 and 45009. The biggest common factor number is the GCF number.
So the greatest common factor 44997 and 45009 is 3.

Also check out the Least Common Multiple of 44997 and 45009