What is the Greatest Common Factor of 45125 and 45144?

Greatest common factor (GCF) of 45125 and 45144 is 19.

GCF(45125,45144) = 19

We will now calculate the prime factors of 45125 and 45144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45125 and 45144.

How to find the GCF of 45125 and 45144?

We will first find the prime factorization of 45125 and 45144. After we will calculate the factors of 45125 and 45144 and find the biggest common factor number .

Step-1: Prime Factorization of 45125

Prime factors of 45125 are 5, 19. Prime factorization of 45125 in exponential form is:

45125 = 5³ × 19²

Step-2: Prime Factorization of 45144

Prime factors of 45144 are 2, 3, 11, 19. Prime factorization of 45144 in exponential form is:

45144 = 2³ × 3³ × 11¹ × 19¹

Step-3: Factors of 45125

List of positive integer factors of 45125 that divides 45125 without a remainder.

1, 5, 19, 25, 95, 125, 361, 475, 1805, 2375, 9025

Step-4: Factors of 45144

List of positive integer factors of 45144 that divides 45125 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 19, 22, 24, 27, 33, 36, 38, 44, 54, 57, 66, 72, 76, 88, 99, 108, 114, 132, 152, 171, 198, 209, 216, 228, 264, 297, 342, 396, 418, 456, 513, 594, 627, 684, 792, 836, 1026, 1188, 1254, 1368, 1672, 1881, 2052, 2376, 2508, 3762, 4104, 5016, 5643, 7524, 11286, 15048, 22572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45125 and 45144. The biggest common factor number is the GCF number.
So the greatest common factor 45125 and 45144 is 19.

Also check out the Least Common Multiple of 45125 and 45144