What is the Greatest Common Factor of 44988 and 45003?

Greatest common factor (GCF) of 44988 and 45003 is 3.

GCF(44988,45003) = 3

We will now calculate the prime factors of 44988 and 45003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44988 and 45003.

How to find the GCF of 44988 and 45003?

We will first find the prime factorization of 44988 and 45003. After we will calculate the factors of 44988 and 45003 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 45003

Prime factors of 45003 are 3, 7, 2143. Prime factorization of 45003 in exponential form is:

45003 = 3¹ × 7¹ × 2143¹

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 45003

List of positive integer factors of 45003 that divides 44988 without a remainder.

1, 3, 7, 21, 2143, 6429, 15001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44988 and 45003. The biggest common factor number is the GCF number.
So the greatest common factor 44988 and 45003 is 3.

Also check out the Least Common Multiple of 44988 and 45003