What is the Greatest Common Factor of 66675 and 66695?

Greatest common factor (GCF) of 66675 and 66695 is 5.

GCF(66675,66695) = 5

We will now calculate the prime factors of 66675 and 66695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66675 and 66695.

How to find the GCF of 66675 and 66695?

We will first find the prime factorization of 66675 and 66695. After we will calculate the factors of 66675 and 66695 and find the biggest common factor number .

Step-1: Prime Factorization of 66675

Prime factors of 66675 are 3, 5, 7, 127. Prime factorization of 66675 in exponential form is:

66675 = 3¹ × 5² × 7¹ × 127¹

Step-2: Prime Factorization of 66695

Prime factors of 66695 are 5, 13339. Prime factorization of 66695 in exponential form is:

66695 = 5¹ × 13339¹

Step-3: Factors of 66675

List of positive integer factors of 66675 that divides 66675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 127, 175, 381, 525, 635, 889, 1905, 2667, 3175, 4445, 9525, 13335, 22225

Step-4: Factors of 66695

List of positive integer factors of 66695 that divides 66675 without a remainder.

1, 5, 13339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66675 and 66695. The biggest common factor number is the GCF number.
So the greatest common factor 66675 and 66695 is 5.

Also check out the Least Common Multiple of 66675 and 66695