What is the Greatest Common Factor of 78616 and 78634?

Greatest common factor (GCF) of 78616 and 78634 is 2.

GCF(78616,78634) = 2

We will now calculate the prime factors of 78616 and 78634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78616 and 78634.

How to find the GCF of 78616 and 78634?

We will first find the prime factorization of 78616 and 78634. After we will calculate the factors of 78616 and 78634 and find the biggest common factor number .

Step-1: Prime Factorization of 78616

Prime factors of 78616 are 2, 31, 317. Prime factorization of 78616 in exponential form is:

78616 = 2³ × 31¹ × 317¹

Step-2: Prime Factorization of 78634

Prime factors of 78634 are 2, 39317. Prime factorization of 78634 in exponential form is:

78634 = 2¹ × 39317¹

Step-3: Factors of 78616

List of positive integer factors of 78616 that divides 78616 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 317, 634, 1268, 2536, 9827, 19654, 39308

Step-4: Factors of 78634

List of positive integer factors of 78634 that divides 78616 without a remainder.

1, 2, 39317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78616 and 78634. The biggest common factor number is the GCF number.
So the greatest common factor 78616 and 78634 is 2.

Also check out the Least Common Multiple of 78616 and 78634