What is the Greatest Common Factor of 78675 and 78695?

Greatest common factor (GCF) of 78675 and 78695 is 5.

GCF(78675,78695) = 5

We will now calculate the prime factors of 78675 and 78695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78675 and 78695.

How to find the GCF of 78675 and 78695?

We will first find the prime factorization of 78675 and 78695. After we will calculate the factors of 78675 and 78695 and find the biggest common factor number .

Step-1: Prime Factorization of 78675

Prime factors of 78675 are 3, 5, 1049. Prime factorization of 78675 in exponential form is:

78675 = 3¹ × 5² × 1049¹

Step-2: Prime Factorization of 78695

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

78695 = 5¹ × 15739¹

Step-3: Factors of 78675

List of positive integer factors of 78675 that divides 78675 without a remainder.

1, 3, 5, 15, 25, 75, 1049, 3147, 5245, 15735, 26225

Step-4: Factors of 78695

List of positive integer factors of 78695 that divides 78675 without a remainder.

1, 5, 15739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78675 and 78695. The biggest common factor number is the GCF number.
So the greatest common factor 78675 and 78695 is 5.

Also check out the Least Common Multiple of 78675 and 78695