What is the Greatest Common Factor of 78654 and 78668?

Greatest common factor (GCF) of 78654 and 78668 is 2.

GCF(78654,78668) = 2

We will now calculate the prime factors of 78654 and 78668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78654 and 78668.

How to find the GCF of 78654 and 78668?

We will first find the prime factorization of 78654 and 78668. After we will calculate the factors of 78654 and 78668 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 78668

Prime factors of 78668 are 2, 71, 277. Prime factorization of 78668 in exponential form is:

78668 = 2² × 71¹ × 277¹

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 78668

List of positive integer factors of 78668 that divides 78654 without a remainder.

1, 2, 4, 71, 142, 277, 284, 554, 1108, 19667, 39334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78654 and 78668. The biggest common factor number is the GCF number.
So the greatest common factor 78654 and 78668 is 2.

Also check out the Least Common Multiple of 78654 and 78668