What is the Greatest Common Factor of 45917 and 45928?

Greatest common factor (GCF) of 45917 and 45928 is 1.

GCF(45917,45928) = 1

We will now calculate the prime factors of 45917 and 45928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45917 and 45928.

How to find the GCF of 45917 and 45928?

We will first find the prime factorization of 45917 and 45928. After we will calculate the factors of 45917 and 45928 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 45928

Prime factors of 45928 are 2, 5741. Prime factorization of 45928 in exponential form is:

45928 = 2³ × 5741¹

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 45928

List of positive integer factors of 45928 that divides 45917 without a remainder.

1, 2, 4, 8, 5741, 11482, 22964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45917 and 45928. The biggest common factor number is the GCF number.
So the greatest common factor 45917 and 45928 is 1.

Also check out the Least Common Multiple of 45917 and 45928