What is the Greatest Common Factor of 6665 and 6675?

Greatest common factor (GCF) of 6665 and 6675 is 5.

GCF(6665,6675) = 5

We will now calculate the prime factors of 6665 and 6675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6665 and 6675.

How to find the GCF of 6665 and 6675?

We will first find the prime factorization of 6665 and 6675. After we will calculate the factors of 6665 and 6675 and find the biggest common factor number .

Step-1: Prime Factorization of 6665

Prime factors of 6665 are 5, 31, 43. Prime factorization of 6665 in exponential form is:

6665 = 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 6675

Prime factors of 6675 are 3, 5, 89. Prime factorization of 6675 in exponential form is:

6675 = 3¹ × 5² × 89¹

Step-3: Factors of 6665

List of positive integer factors of 6665 that divides 6665 without a remainder.

1, 5, 31, 43, 155, 215, 1333

Step-4: Factors of 6675

List of positive integer factors of 6675 that divides 6665 without a remainder.

1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6665 and 6675. The biggest common factor number is the GCF number.
So the greatest common factor 6665 and 6675 is 5.

Also check out the Least Common Multiple of 6665 and 6675