What is the Greatest Common Factor of 44980 and 45000?

Greatest common factor (GCF) of 44980 and 45000 is 20.

GCF(44980,45000) = 20

We will now calculate the prime factors of 44980 and 45000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44980 and 45000.

How to find the GCF of 44980 and 45000?

We will first find the prime factorization of 44980 and 45000. After we will calculate the factors of 44980 and 45000 and find the biggest common factor number .

Step-1: Prime Factorization of 44980

Prime factors of 44980 are 2, 5, 13, 173. Prime factorization of 44980 in exponential form is:

44980 = 2² × 5¹ × 13¹ × 173¹

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 44980

List of positive integer factors of 44980 that divides 44980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 173, 260, 346, 692, 865, 1730, 2249, 3460, 4498, 8996, 11245, 22490

Step-4: Factors of 45000

List of positive integer factors of 45000 that divides 44980 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 44980 and 45000. The biggest common factor number is the GCF number.
So the greatest common factor 44980 and 45000 is 20.

Also check out the Least Common Multiple of 44980 and 45000