What is the Greatest Common Factor of 78617 and 78628?

Greatest common factor (GCF) of 78617 and 78628 is 11.

GCF(78617,78628) = 11

We will now calculate the prime factors of 78617 and 78628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78617 and 78628.

How to find the GCF of 78617 and 78628?

We will first find the prime factorization of 78617 and 78628. After we will calculate the factors of 78617 and 78628 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 78628

Prime factors of 78628 are 2, 11, 1787. Prime factorization of 78628 in exponential form is:

78628 = 2² × 11¹ × 1787¹

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 78628

List of positive integer factors of 78628 that divides 78617 without a remainder.

1, 2, 4, 11, 22, 44, 1787, 3574, 7148, 19657, 39314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78617 and 78628. The biggest common factor number is the GCF number.
So the greatest common factor 78617 and 78628 is 11.

Also check out the Least Common Multiple of 78617 and 78628