What is the Greatest Common Factor of 45172 and 45185?

Greatest common factor (GCF) of 45172 and 45185 is 1.

GCF(45172,45185) = 1

We will now calculate the prime factors of 45172 and 45185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45172 and 45185.

How to find the GCF of 45172 and 45185?

We will first find the prime factorization of 45172 and 45185. After we will calculate the factors of 45172 and 45185 and find the biggest common factor number .

Step-1: Prime Factorization of 45172

Prime factors of 45172 are 2, 23, 491. Prime factorization of 45172 in exponential form is:

45172 = 2² × 23¹ × 491¹

Step-2: Prime Factorization of 45185

Prime factors of 45185 are 5, 7, 1291. Prime factorization of 45185 in exponential form is:

45185 = 5¹ × 7¹ × 1291¹

Step-3: Factors of 45172

List of positive integer factors of 45172 that divides 45172 without a remainder.

1, 2, 4, 23, 46, 92, 491, 982, 1964, 11293, 22586

Step-4: Factors of 45185

List of positive integer factors of 45185 that divides 45172 without a remainder.

1, 5, 7, 35, 1291, 6455, 9037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45172 and 45185. The biggest common factor number is the GCF number.
So the greatest common factor 45172 and 45185 is 1.

Also check out the Least Common Multiple of 45172 and 45185