What is the Greatest Common Factor of 78623 and 78628?

Greatest common factor (GCF) of 78623 and 78628 is 1.

GCF(78623,78628) = 1

We will now calculate the prime factors of 78623 and 78628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78623 and 78628.

How to find the GCF of 78623 and 78628?

We will first find the prime factorization of 78623 and 78628. After we will calculate the factors of 78623 and 78628 and find the biggest common factor number .

Step-1: Prime Factorization of 78623

Prime factors of 78623 are 78623. Prime factorization of 78623 in exponential form is:

78623 = 78623¹

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 78623

List of positive integer factors of 78623 that divides 78623 without a remainder.

Step-4: Factors of 78628

List of positive integer factors of 78628 that divides 78623 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 78623 and 78628. The biggest common factor number is the GCF number.
So the greatest common factor 78623 and 78628 is 1.

Also check out the Least Common Multiple of 78623 and 78628