What is the Greatest Common Factor of 70659 and 70665?

Greatest common factor (GCF) of 70659 and 70665 is 3.

GCF(70659,70665) = 3

We will now calculate the prime factors of 70659 and 70665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70659 and 70665.

How to find the GCF of 70659 and 70665?

We will first find the prime factorization of 70659 and 70665. After we will calculate the factors of 70659 and 70665 and find the biggest common factor number .

Step-1: Prime Factorization of 70659

Prime factors of 70659 are 3, 2617. Prime factorization of 70659 in exponential form is:

70659 = 3³ × 2617¹

Step-2: Prime Factorization of 70665

Prime factors of 70665 are 3, 5, 7, 673. Prime factorization of 70665 in exponential form is:

70665 = 3¹ × 5¹ × 7¹ × 673¹

Step-3: Factors of 70659

List of positive integer factors of 70659 that divides 70659 without a remainder.

1, 3, 9, 27, 2617, 7851, 23553

Step-4: Factors of 70665

List of positive integer factors of 70665 that divides 70659 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 673, 2019, 3365, 4711, 10095, 14133, 23555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70659 and 70665. The biggest common factor number is the GCF number.
So the greatest common factor 70659 and 70665 is 3.

Also check out the Least Common Multiple of 70659 and 70665