What is the Greatest Common Factor of 4065 and 4074?

Greatest common factor (GCF) of 4065 and 4074 is 3.

GCF(4065,4074) = 3

We will now calculate the prime factors of 4065 and 4074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4065 and 4074.

How to find the GCF of 4065 and 4074?

We will first find the prime factorization of 4065 and 4074. After we will calculate the factors of 4065 and 4074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4074

Prime factors of 4074 are 2, 3, 7, 97. Prime factorization of 4074 in exponential form is:

4074 = 2¹ × 3¹ × 7¹ × 97¹

Step-3: Factors of 4065

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

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

Step-4: Factors of 4074

List of positive integer factors of 4074 that divides 4065 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4065 and 4074. The biggest common factor number is the GCF number.
So the greatest common factor 4065 and 4074 is 3.

Also check out the Least Common Multiple of 4065 and 4074