What is the Greatest Common Factor of 78695 and 78700?

Greatest common factor (GCF) of 78695 and 78700 is 5.

GCF(78695,78700) = 5

We will now calculate the prime factors of 78695 and 78700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78695 and 78700.

How to find the GCF of 78695 and 78700?

We will first find the prime factorization of 78695 and 78700. After we will calculate the factors of 78695 and 78700 and find the biggest common factor number .

Step-1: Prime Factorization of 78695

Prime factors of 78695 are 5, 15739. Prime factorization of 78695 in exponential form is:

78695 = 5¹ × 15739¹

Step-2: Prime Factorization of 78700

Prime factors of 78700 are 2, 5, 787. Prime factorization of 78700 in exponential form is:

78700 = 2² × 5² × 787¹

Step-3: Factors of 78695

List of positive integer factors of 78695 that divides 78695 without a remainder.

1, 5, 15739

Step-4: Factors of 78700

List of positive integer factors of 78700 that divides 78695 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 787, 1574, 3148, 3935, 7870, 15740, 19675, 39350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78695 and 78700. The biggest common factor number is the GCF number.
So the greatest common factor 78695 and 78700 is 5.

Also check out the Least Common Multiple of 78695 and 78700