What is the Greatest Common Factor of 70665 and 70670?

Greatest common factor (GCF) of 70665 and 70670 is 5.

GCF(70665,70670) = 5

We will now calculate the prime factors of 70665 and 70670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70665 and 70670.

How to find the GCF of 70665 and 70670?

We will first find the prime factorization of 70665 and 70670. After we will calculate the factors of 70665 and 70670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70670

Prime factors of 70670 are 2, 5, 37, 191. Prime factorization of 70670 in exponential form is:

70670 = 2¹ × 5¹ × 37¹ × 191¹

Step-3: Factors of 70665

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

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

Step-4: Factors of 70670

List of positive integer factors of 70670 that divides 70665 without a remainder.

1, 2, 5, 10, 37, 74, 185, 191, 370, 382, 955, 1910, 7067, 14134, 35335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70665 and 70670. The biggest common factor number is the GCF number.
So the greatest common factor 70665 and 70670 is 5.

Also check out the Least Common Multiple of 70665 and 70670