What is the Greatest Common Factor of 78687 and 78699?

Greatest common factor (GCF) of 78687 and 78699 is 3.

GCF(78687,78699) = 3

We will now calculate the prime factors of 78687 and 78699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78687 and 78699.

How to find the GCF of 78687 and 78699?

We will first find the prime factorization of 78687 and 78699. After we will calculate the factors of 78687 and 78699 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78699

Prime factors of 78699 are 3, 37, 709. Prime factorization of 78699 in exponential form is:

78699 = 3¹ × 37¹ × 709¹

Step-3: Factors of 78687

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

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

Step-4: Factors of 78699

List of positive integer factors of 78699 that divides 78687 without a remainder.

1, 3, 37, 111, 709, 2127, 26233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78687 and 78699. The biggest common factor number is the GCF number.
So the greatest common factor 78687 and 78699 is 3.

Also check out the Least Common Multiple of 78687 and 78699