What is the Greatest Common Factor of 44988 and 44997?

Greatest common factor (GCF) of 44988 and 44997 is 3.

GCF(44988,44997) = 3

We will now calculate the prime factors of 44988 and 44997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44988 and 44997.

How to find the GCF of 44988 and 44997?

We will first find the prime factorization of 44988 and 44997. After we will calculate the factors of 44988 and 44997 and find the biggest common factor number .

Step-1: Prime Factorization of 44988

Prime factors of 44988 are 2, 3, 23, 163. Prime factorization of 44988 in exponential form is:

44988 = 2² × 3¹ × 23¹ × 163¹

Step-2: 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-3: Factors of 44988

List of positive integer factors of 44988 that divides 44988 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 163, 276, 326, 489, 652, 978, 1956, 3749, 7498, 11247, 14996, 22494

Step-4: Factors of 44997

List of positive integer factors of 44997 that divides 44988 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44988 and 44997. The biggest common factor number is the GCF number.
So the greatest common factor 44988 and 44997 is 3.

Also check out the Least Common Multiple of 44988 and 44997