What is the Greatest Common Factor of 45146 and 45150?

Greatest common factor (GCF) of 45146 and 45150 is 2.

GCF(45146,45150) = 2

We will now calculate the prime factors of 45146 and 45150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45146 and 45150.

How to find the GCF of 45146 and 45150?

We will first find the prime factorization of 45146 and 45150. After we will calculate the factors of 45146 and 45150 and find the biggest common factor number .

Step-1: Prime Factorization of 45146

Prime factors of 45146 are 2, 22573. Prime factorization of 45146 in exponential form is:

45146 = 2¹ × 22573¹

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 45146

List of positive integer factors of 45146 that divides 45146 without a remainder.

1, 2, 22573

Step-4: Factors of 45150

List of positive integer factors of 45150 that divides 45146 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 45146 and 45150. The biggest common factor number is the GCF number.
So the greatest common factor 45146 and 45150 is 2.

Also check out the Least Common Multiple of 45146 and 45150