What is the Greatest Common Factor of 45150 and 45168?

Greatest common factor (GCF) of 45150 and 45168 is 6.

GCF(45150,45168) = 6

We will now calculate the prime factors of 45150 and 45168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45150 and 45168.

How to find the GCF of 45150 and 45168?

We will first find the prime factorization of 45150 and 45168. After we will calculate the factors of 45150 and 45168 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45168

Prime factors of 45168 are 2, 3, 941. Prime factorization of 45168 in exponential form is:

45168 = 2⁴ × 3¹ × 941¹

Step-3: Factors of 45150

List of positive integer factors of 45150 that divides 45150 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

Step-4: Factors of 45168

List of positive integer factors of 45168 that divides 45150 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 941, 1882, 2823, 3764, 5646, 7528, 11292, 15056, 22584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45150 and 45168. The biggest common factor number is the GCF number.
So the greatest common factor 45150 and 45168 is 6.

Also check out the Least Common Multiple of 45150 and 45168