What is the Greatest Common Factor of 45965 and 45971?

Greatest common factor (GCF) of 45965 and 45971 is 1.

GCF(45965,45971) = 1

We will now calculate the prime factors of 45965 and 45971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45965 and 45971.

How to find the GCF of 45965 and 45971?

We will first find the prime factorization of 45965 and 45971. After we will calculate the factors of 45965 and 45971 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 45971

Prime factors of 45971 are 45971. Prime factorization of 45971 in exponential form is:

45971 = 45971¹

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 45971

List of positive integer factors of 45971 that divides 45965 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45965 and 45971. The biggest common factor number is the GCF number.
So the greatest common factor 45965 and 45971 is 1.

Also check out the Least Common Multiple of 45965 and 45971