What is the Greatest Common Factor of 66675 and 66689?

Greatest common factor (GCF) of 66675 and 66689 is 7.

GCF(66675,66689) = 7

We will now calculate the prime factors of 66675 and 66689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66675 and 66689.

How to find the GCF of 66675 and 66689?

We will first find the prime factorization of 66675 and 66689. After we will calculate the factors of 66675 and 66689 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 66689

Prime factors of 66689 are 7, 1361. Prime factorization of 66689 in exponential form is:

66689 = 7² × 1361¹

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 66689

List of positive integer factors of 66689 that divides 66675 without a remainder.

1, 7, 49, 1361, 9527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66675 and 66689. The biggest common factor number is the GCF number.
So the greatest common factor 66675 and 66689 is 7.

Also check out the Least Common Multiple of 66675 and 66689