What is the Greatest Common Factor of 44625 and 44640?

Greatest common factor (GCF) of 44625 and 44640 is 15.

GCF(44625,44640) = 15

We will now calculate the prime factors of 44625 and 44640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44625 and 44640.

How to find the GCF of 44625 and 44640?

We will first find the prime factorization of 44625 and 44640. After we will calculate the factors of 44625 and 44640 and find the biggest common factor number .

Step-1: Prime Factorization of 44625

Prime factors of 44625 are 3, 5, 7, 17. Prime factorization of 44625 in exponential form is:

44625 = 3¹ × 5³ × 7¹ × 17¹

Step-2: Prime Factorization of 44640

Prime factors of 44640 are 2, 3, 5, 31. Prime factorization of 44640 in exponential form is:

44640 = 2⁵ × 3² × 5¹ × 31¹

Step-3: Factors of 44625

List of positive integer factors of 44625 that divides 44625 without a remainder.

1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 125, 175, 255, 357, 375, 425, 525, 595, 875, 1275, 1785, 2125, 2625, 2975, 6375, 8925, 14875

Step-4: Factors of 44640

List of positive integer factors of 44640 that divides 44625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 32, 36, 40, 45, 48, 60, 62, 72, 80, 90, 93, 96, 120, 124, 144, 155, 160, 180, 186, 240, 248, 279, 288, 310, 360, 372, 465, 480, 496, 558, 620, 720, 744, 930, 992, 1116, 1240, 1395, 1440, 1488, 1860, 2232, 2480, 2790, 2976, 3720, 4464, 4960, 5580, 7440, 8928, 11160, 14880, 22320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44625 and 44640. The biggest common factor number is the GCF number.
So the greatest common factor 44625 and 44640 is 15.

Also check out the Least Common Multiple of 44625 and 44640