What is the Greatest Common Factor of 7665 and 7675?

Greatest common factor (GCF) of 7665 and 7675 is 5.

GCF(7665,7675) = 5

We will now calculate the prime factors of 7665 and 7675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7665 and 7675.

How to find the GCF of 7665 and 7675?

We will first find the prime factorization of 7665 and 7675. After we will calculate the factors of 7665 and 7675 and find the biggest common factor number .

Step-1: Prime Factorization of 7665

Prime factors of 7665 are 3, 5, 7, 73. Prime factorization of 7665 in exponential form is:

7665 = 3¹ × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 7675

Prime factors of 7675 are 5, 307. Prime factorization of 7675 in exponential form is:

7675 = 5² × 307¹

Step-3: Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555

Step-4: Factors of 7675

List of positive integer factors of 7675 that divides 7665 without a remainder.

1, 5, 25, 307, 1535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7665 and 7675. The biggest common factor number is the GCF number.
So the greatest common factor 7665 and 7675 is 5.

Also check out the Least Common Multiple of 7665 and 7675