What is the Greatest Common Factor of 45901 and 45917?

Greatest common factor (GCF) of 45901 and 45917 is 1.

GCF(45901,45917) = 1

We will now calculate the prime factors of 45901 and 45917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45901 and 45917.

How to find the GCF of 45901 and 45917?

We will first find the prime factorization of 45901 and 45917. After we will calculate the factors of 45901 and 45917 and find the biggest common factor number .

Step-1: Prime Factorization of 45901

Prime factors of 45901 are 197, 233. Prime factorization of 45901 in exponential form is:

45901 = 197¹ × 233¹

Step-2: Prime Factorization of 45917

Prime factors of 45917 are 17, 37, 73. Prime factorization of 45917 in exponential form is:

45917 = 17¹ × 37¹ × 73¹

Step-3: Factors of 45901

List of positive integer factors of 45901 that divides 45901 without a remainder.

1, 197, 233

Step-4: Factors of 45917

List of positive integer factors of 45917 that divides 45901 without a remainder.

1, 17, 37, 73, 629, 1241, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45901 and 45917. The biggest common factor number is the GCF number.
So the greatest common factor 45901 and 45917 is 1.

Also check out the Least Common Multiple of 45901 and 45917