What is the Greatest Common Factor of 45897 and 45917?

Greatest common factor (GCF) of 45897 and 45917 is 1.

GCF(45897,45917) = 1

We will now calculate the prime factors of 45897 and 45917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45897 and 45917.

How to find the GCF of 45897 and 45917?

We will first find the prime factorization of 45897 and 45917. After we will calculate the factors of 45897 and 45917 and find the biggest common factor number .

Step-1: Prime Factorization of 45897

Prime factors of 45897 are 3, 15299. Prime factorization of 45897 in exponential form is:

45897 = 3¹ × 15299¹

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 45897

List of positive integer factors of 45897 that divides 45897 without a remainder.

1, 3, 15299

Step-4: Factors of 45917

List of positive integer factors of 45917 that divides 45897 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45897 and 45917. The biggest common factor number is the GCF number.
So the greatest common factor 45897 and 45917 is 1.

Also check out the Least Common Multiple of 45897 and 45917