What is the Greatest Common Factor of 78639 and 78654?

Greatest common factor (GCF) of 78639 and 78654 is 3.

GCF(78639,78654) = 3

We will now calculate the prime factors of 78639 and 78654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78639 and 78654.

How to find the GCF of 78639 and 78654?

We will first find the prime factorization of 78639 and 78654. After we will calculate the factors of 78639 and 78654 and find the biggest common factor number .

Step-1: Prime Factorization of 78639

Prime factors of 78639 are 3, 11, 2383. Prime factorization of 78639 in exponential form is:

78639 = 3¹ × 11¹ × 2383¹

Step-2: Prime Factorization of 78654

Prime factors of 78654 are 2, 3, 13109. Prime factorization of 78654 in exponential form is:

78654 = 2¹ × 3¹ × 13109¹

Step-3: Factors of 78639

List of positive integer factors of 78639 that divides 78639 without a remainder.

1, 3, 11, 33, 2383, 7149, 26213

Step-4: Factors of 78654

List of positive integer factors of 78654 that divides 78639 without a remainder.

1, 2, 3, 6, 13109, 26218, 39327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78639 and 78654. The biggest common factor number is the GCF number.
So the greatest common factor 78639 and 78654 is 3.

Also check out the Least Common Multiple of 78639 and 78654