What is the Greatest Common Factor of 78669 and 78687?

Greatest common factor (GCF) of 78669 and 78687 is 9.

GCF(78669,78687) = 9

We will now calculate the prime factors of 78669 and 78687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78669 and 78687.

How to find the GCF of 78669 and 78687?

We will first find the prime factorization of 78669 and 78687. After we will calculate the factors of 78669 and 78687 and find the biggest common factor number .

Step-1: Prime Factorization of 78669

Prime factors of 78669 are 3, 8741. Prime factorization of 78669 in exponential form is:

78669 = 3² × 8741¹

Step-2: Prime Factorization of 78687

Prime factors of 78687 are 3, 7, 1249. Prime factorization of 78687 in exponential form is:

78687 = 3² × 7¹ × 1249¹

Step-3: Factors of 78669

List of positive integer factors of 78669 that divides 78669 without a remainder.

1, 3, 9, 8741, 26223

Step-4: Factors of 78687

List of positive integer factors of 78687 that divides 78669 without a remainder.

1, 3, 7, 9, 21, 63, 1249, 3747, 8743, 11241, 26229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78669 and 78687. The biggest common factor number is the GCF number.
So the greatest common factor 78669 and 78687 is 9.

Also check out the Least Common Multiple of 78669 and 78687