What is the Greatest Common Factor of 45144 and 45150?

Greatest common factor (GCF) of 45144 and 45150 is 6.

GCF(45144,45150) = 6

We will now calculate the prime factors of 45144 and 45150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45144 and 45150.

How to find the GCF of 45144 and 45150?

We will first find the prime factorization of 45144 and 45150. After we will calculate the factors of 45144 and 45150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45150

Prime factors of 45150 are 2, 3, 5, 7, 43. Prime factorization of 45150 in exponential form is:

45150 = 2¹ × 3¹ × 5² × 7¹ × 43¹

Step-3: Factors of 45144

List of positive integer factors of 45144 that divides 45144 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

Step-4: Factors of 45150

List of positive integer factors of 45150 that divides 45144 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 43, 50, 70, 75, 86, 105, 129, 150, 175, 210, 215, 258, 301, 350, 430, 525, 602, 645, 903, 1050, 1075, 1290, 1505, 1806, 2150, 3010, 3225, 4515, 6450, 7525, 9030, 15050, 22575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45144 and 45150. The biggest common factor number is the GCF number.
So the greatest common factor 45144 and 45150 is 6.

Also check out the Least Common Multiple of 45144 and 45150