What is the Greatest Common Factor of 44988 and 45000?

Greatest common factor (GCF) of 44988 and 45000 is 12.

GCF(44988,45000) = 12

We will now calculate the prime factors of 44988 and 45000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44988 and 45000.

How to find the GCF of 44988 and 45000?

We will first find the prime factorization of 44988 and 45000. After we will calculate the factors of 44988 and 45000 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 45000

Prime factors of 45000 are 2, 3, 5. Prime factorization of 45000 in exponential form is:

45000 = 2³ × 3² × 5⁴

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 45000

List of positive integer factors of 45000 that divides 44988 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 625, 750, 900, 1000, 1125, 1250, 1500, 1800, 1875, 2250, 2500, 3000, 3750, 4500, 5000, 5625, 7500, 9000, 11250, 15000, 22500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44988 and 45000. The biggest common factor number is the GCF number.
So the greatest common factor 44988 and 45000 is 12.

Also check out the Least Common Multiple of 44988 and 45000