What is the Greatest Common Factor of 45965 and 45975?

Greatest common factor (GCF) of 45965 and 45975 is 5.

GCF(45965,45975) = 5

We will now calculate the prime factors of 45965 and 45975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45965 and 45975.

How to find the GCF of 45965 and 45975?

We will first find the prime factorization of 45965 and 45975. After we will calculate the factors of 45965 and 45975 and find the biggest common factor number .

Step-1: Prime Factorization of 45965

Prime factors of 45965 are 5, 29, 317. Prime factorization of 45965 in exponential form is:

45965 = 5¹ × 29¹ × 317¹

Step-2: Prime Factorization of 45975

Prime factors of 45975 are 3, 5, 613. Prime factorization of 45975 in exponential form is:

45975 = 3¹ × 5² × 613¹

Step-3: Factors of 45965

List of positive integer factors of 45965 that divides 45965 without a remainder.

1, 5, 29, 145, 317, 1585, 9193

Step-4: Factors of 45975

List of positive integer factors of 45975 that divides 45965 without a remainder.

1, 3, 5, 15, 25, 75, 613, 1839, 3065, 9195, 15325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45965 and 45975. The biggest common factor number is the GCF number.
So the greatest common factor 45965 and 45975 is 5.

Also check out the Least Common Multiple of 45965 and 45975