What is the Greatest Common Factor of 78658 and 78662?

Greatest common factor (GCF) of 78658 and 78662 is 2.

GCF(78658,78662) = 2

We will now calculate the prime factors of 78658 and 78662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78658 and 78662.

How to find the GCF of 78658 and 78662?

We will first find the prime factorization of 78658 and 78662. After we will calculate the factors of 78658 and 78662 and find the biggest common factor number .

Step-1: Prime Factorization of 78658

Prime factors of 78658 are 2, 67, 587. Prime factorization of 78658 in exponential form is:

78658 = 2¹ × 67¹ × 587¹

Step-2: Prime Factorization of 78662

Prime factors of 78662 are 2, 37, 1063. Prime factorization of 78662 in exponential form is:

78662 = 2¹ × 37¹ × 1063¹

Step-3: Factors of 78658

List of positive integer factors of 78658 that divides 78658 without a remainder.

1, 2, 67, 134, 587, 1174, 39329

Step-4: Factors of 78662

List of positive integer factors of 78662 that divides 78658 without a remainder.

1, 2, 37, 74, 1063, 2126, 39331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78658 and 78662. The biggest common factor number is the GCF number.
So the greatest common factor 78658 and 78662 is 2.

Also check out the Least Common Multiple of 78658 and 78662