What is the Greatest Common Factor of 78616 and 78622?

Greatest common factor (GCF) of 78616 and 78622 is 2.

GCF(78616,78622) = 2

We will now calculate the prime factors of 78616 and 78622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78616 and 78622.

How to find the GCF of 78616 and 78622?

We will first find the prime factorization of 78616 and 78622. After we will calculate the factors of 78616 and 78622 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 78622

Prime factors of 78622 are 2, 19, 2069. Prime factorization of 78622 in exponential form is:

78622 = 2¹ × 19¹ × 2069¹

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 78622

List of positive integer factors of 78622 that divides 78616 without a remainder.

1, 2, 19, 38, 2069, 4138, 39311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78616 and 78622. The biggest common factor number is the GCF number.
So the greatest common factor 78616 and 78622 is 2.

Also check out the Least Common Multiple of 78616 and 78622