What is the Greatest Common Factor of 4061 and 4065?

Greatest common factor (GCF) of 4061 and 4065 is 1.

GCF(4061,4065) = 1

We will now calculate the prime factors of 4061 and 4065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4061 and 4065.

How to find the GCF of 4061 and 4065?

We will first find the prime factorization of 4061 and 4065. After we will calculate the factors of 4061 and 4065 and find the biggest common factor number .

Step-1: Prime Factorization of 4061

Prime factors of 4061 are 31, 131. Prime factorization of 4061 in exponential form is:

4061 = 31¹ × 131¹

Step-2: Prime Factorization of 4065

Prime factors of 4065 are 3, 5, 271. Prime factorization of 4065 in exponential form is:

4065 = 3¹ × 5¹ × 271¹

Step-3: Factors of 4061

List of positive integer factors of 4061 that divides 4061 without a remainder.

1, 31, 131

Step-4: Factors of 4065

List of positive integer factors of 4065 that divides 4061 without a remainder.

1, 3, 5, 15, 271, 813, 1355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4061 and 4065. The biggest common factor number is the GCF number.
So the greatest common factor 4061 and 4065 is 1.

Also check out the Least Common Multiple of 4061 and 4065