What is the Greatest Common Factor of 4665 and 4675?

Greatest common factor (GCF) of 4665 and 4675 is 5.

GCF(4665,4675) = 5

We will now calculate the prime factors of 4665 and 4675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4665 and 4675.

How to find the GCF of 4665 and 4675?

We will first find the prime factorization of 4665 and 4675. After we will calculate the factors of 4665 and 4675 and find the biggest common factor number .

Step-1: Prime Factorization of 4665

Prime factors of 4665 are 3, 5, 311. Prime factorization of 4665 in exponential form is:

4665 = 3¹ × 5¹ × 311¹

Step-2: Prime Factorization of 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 5² × 11¹ × 17¹

Step-3: Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1, 3, 5, 15, 311, 933, 1555

Step-4: Factors of 4675

List of positive integer factors of 4675 that divides 4665 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4665 and 4675. The biggest common factor number is the GCF number.
So the greatest common factor 4665 and 4675 is 5.

Also check out the Least Common Multiple of 4665 and 4675