What is the Greatest Common Factor of 78665 and 78670?

Greatest common factor (GCF) of 78665 and 78670 is 5.

GCF(78665,78670) = 5

We will now calculate the prime factors of 78665 and 78670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78665 and 78670.

How to find the GCF of 78665 and 78670?

We will first find the prime factorization of 78665 and 78670. After we will calculate the factors of 78665 and 78670 and find the biggest common factor number .

Step-1: Prime Factorization of 78665

Prime factors of 78665 are 5, 15733. Prime factorization of 78665 in exponential form is:

78665 = 5¹ × 15733¹

Step-2: Prime Factorization of 78670

Prime factors of 78670 are 2, 5, 7867. Prime factorization of 78670 in exponential form is:

78670 = 2¹ × 5¹ × 7867¹

Step-3: Factors of 78665

List of positive integer factors of 78665 that divides 78665 without a remainder.

1, 5, 15733

Step-4: Factors of 78670

List of positive integer factors of 78670 that divides 78665 without a remainder.

1, 2, 5, 10, 7867, 15734, 39335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78665 and 78670. The biggest common factor number is the GCF number.
So the greatest common factor 78665 and 78670 is 5.

Also check out the Least Common Multiple of 78665 and 78670