What is the Greatest Common Factor of 45917 and 45934?

Greatest common factor (GCF) of 45917 and 45934 is 17.

GCF(45917,45934) = 17

We will now calculate the prime factors of 45917 and 45934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45917 and 45934.

How to find the GCF of 45917 and 45934?

We will first find the prime factorization of 45917 and 45934. After we will calculate the factors of 45917 and 45934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45934

Prime factors of 45934 are 2, 7, 17, 193. Prime factorization of 45934 in exponential form is:

45934 = 2¹ × 7¹ × 17¹ × 193¹

Step-3: Factors of 45917

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

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

Step-4: Factors of 45934

List of positive integer factors of 45934 that divides 45917 without a remainder.

1, 2, 7, 14, 17, 34, 119, 193, 238, 386, 1351, 2702, 3281, 6562, 22967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45917 and 45934. The biggest common factor number is the GCF number.
So the greatest common factor 45917 and 45934 is 17.

Also check out the Least Common Multiple of 45917 and 45934