What is the Greatest Common Factor of 39416 and 39430?

Greatest common factor (GCF) of 39416 and 39430 is 2.

GCF(39416,39430) = 2

We will now calculate the prime factors of 39416 and 39430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39416 and 39430.

How to find the GCF of 39416 and 39430?

We will first find the prime factorization of 39416 and 39430. After we will calculate the factors of 39416 and 39430 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 39430

Prime factors of 39430 are 2, 5, 3943. Prime factorization of 39430 in exponential form is:

39430 = 2¹ × 5¹ × 3943¹

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 39430

List of positive integer factors of 39430 that divides 39416 without a remainder.

1, 2, 5, 10, 3943, 7886, 19715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39416 and 39430. The biggest common factor number is the GCF number.
So the greatest common factor 39416 and 39430 is 2.

Also check out the Least Common Multiple of 39416 and 39430