What is the Greatest Common Factor of 39416 and 39422?

Greatest common factor (GCF) of 39416 and 39422 is 2.

GCF(39416,39422) = 2

We will now calculate the prime factors of 39416 and 39422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39416 and 39422.

How to find the GCF of 39416 and 39422?

We will first find the prime factorization of 39416 and 39422. After we will calculate the factors of 39416 and 39422 and find the biggest common factor number .

Step-1: Prime Factorization of 39416

Prime factors of 39416 are 2, 13, 379. Prime factorization of 39416 in exponential form is:

39416 = 2³ × 13¹ × 379¹

Step-2: Prime Factorization of 39422

Prime factors of 39422 are 2, 23, 857. Prime factorization of 39422 in exponential form is:

39422 = 2¹ × 23¹ × 857¹

Step-3: Factors of 39416

List of positive integer factors of 39416 that divides 39416 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 379, 758, 1516, 3032, 4927, 9854, 19708

Step-4: Factors of 39422

List of positive integer factors of 39422 that divides 39416 without a remainder.

1, 2, 23, 46, 857, 1714, 19711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39416 and 39422. The biggest common factor number is the GCF number.
So the greatest common factor 39416 and 39422 is 2.

Also check out the Least Common Multiple of 39416 and 39422