What is the Greatest Common Factor of 78654 and 78663?

Greatest common factor (GCF) of 78654 and 78663 is 3.

GCF(78654,78663) = 3

We will now calculate the prime factors of 78654 and 78663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78654 and 78663.

How to find the GCF of 78654 and 78663?

We will first find the prime factorization of 78654 and 78663. After we will calculate the factors of 78654 and 78663 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78663

Prime factors of 78663 are 3, 13, 2017. Prime factorization of 78663 in exponential form is:

78663 = 3¹ × 13¹ × 2017¹

Step-3: Factors of 78654

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

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

Step-4: Factors of 78663

List of positive integer factors of 78663 that divides 78654 without a remainder.

1, 3, 13, 39, 2017, 6051, 26221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78654 and 78663. The biggest common factor number is the GCF number.
So the greatest common factor 78654 and 78663 is 3.

Also check out the Least Common Multiple of 78654 and 78663