What is the Greatest Common Factor of 78617 and 78636?

Greatest common factor (GCF) of 78617 and 78636 is 1.

GCF(78617,78636) = 1

We will now calculate the prime factors of 78617 and 78636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78617 and 78636.

How to find the GCF of 78617 and 78636?

We will first find the prime factorization of 78617 and 78636. After we will calculate the factors of 78617 and 78636 and find the biggest common factor number .

Step-1: Prime Factorization of 78617

Prime factors of 78617 are 7, 11, 1021. Prime factorization of 78617 in exponential form is:

78617 = 7¹ × 11¹ × 1021¹

Step-2: Prime Factorization of 78636

Prime factors of 78636 are 2, 3, 6553. Prime factorization of 78636 in exponential form is:

78636 = 2² × 3¹ × 6553¹

Step-3: Factors of 78617

List of positive integer factors of 78617 that divides 78617 without a remainder.

1, 7, 11, 77, 1021, 7147, 11231

Step-4: Factors of 78636

List of positive integer factors of 78636 that divides 78617 without a remainder.

1, 2, 3, 4, 6, 12, 6553, 13106, 19659, 26212, 39318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78617 and 78636. The biggest common factor number is the GCF number.
So the greatest common factor 78617 and 78636 is 1.

Also check out the Least Common Multiple of 78617 and 78636