What is the Greatest Common Factor of 45150 and 45169?

Greatest common factor (GCF) of 45150 and 45169 is 1.

GCF(45150,45169) = 1

We will now calculate the prime factors of 45150 and 45169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45150 and 45169.

How to find the GCF of 45150 and 45169?

We will first find the prime factorization of 45150 and 45169. After we will calculate the factors of 45150 and 45169 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 45169

Prime factors of 45169 are 17, 2657. Prime factorization of 45169 in exponential form is:

45169 = 17¹ × 2657¹

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 45169

List of positive integer factors of 45169 that divides 45150 without a remainder.

1, 17, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45150 and 45169. The biggest common factor number is the GCF number.
So the greatest common factor 45150 and 45169 is 1.

Also check out the Least Common Multiple of 45150 and 45169