What is the Greatest Common Factor of 78589 and 78607?

Greatest common factor (GCF) of 78589 and 78607 is 1.

GCF(78589,78607) = 1

We will now calculate the prime factors of 78589 and 78607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78589 and 78607.

How to find the GCF of 78589 and 78607?

We will first find the prime factorization of 78589 and 78607. After we will calculate the factors of 78589 and 78607 and find the biggest common factor number .

Step-1: Prime Factorization of 78589

Prime factors of 78589 are 7, 103, 109. Prime factorization of 78589 in exponential form is:

78589 = 7¹ × 103¹ × 109¹

Step-2: Prime Factorization of 78607

Prime factors of 78607 are 78607. Prime factorization of 78607 in exponential form is:

78607 = 78607¹

Step-3: Factors of 78589

List of positive integer factors of 78589 that divides 78589 without a remainder.

1, 7, 103, 109, 721, 763, 11227

Step-4: Factors of 78607

List of positive integer factors of 78607 that divides 78589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78589 and 78607. The biggest common factor number is the GCF number.
So the greatest common factor 78589 and 78607 is 1.

Also check out the Least Common Multiple of 78589 and 78607