What is the Greatest Common Factor of 45934 and 45941?

Greatest common factor (GCF) of 45934 and 45941 is 7.

GCF(45934,45941) = 7

We will now calculate the prime factors of 45934 and 45941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45934 and 45941.

How to find the GCF of 45934 and 45941?

We will first find the prime factorization of 45934 and 45941. After we will calculate the factors of 45934 and 45941 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45941

Prime factors of 45941 are 7, 6563. Prime factorization of 45941 in exponential form is:

45941 = 7¹ × 6563¹

Step-3: Factors of 45934

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

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

Step-4: Factors of 45941

List of positive integer factors of 45941 that divides 45934 without a remainder.

1, 7, 6563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45934 and 45941. The biggest common factor number is the GCF number.
So the greatest common factor 45934 and 45941 is 7.

Also check out the Least Common Multiple of 45934 and 45941