What is the Greatest Common Factor of 39422 and 39430?

Greatest common factor (GCF) of 39422 and 39430 is 2.

GCF(39422,39430) = 2

We will now calculate the prime factors of 39422 and 39430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39422 and 39430.

How to find the GCF of 39422 and 39430?

We will first find the prime factorization of 39422 and 39430. After we will calculate the factors of 39422 and 39430 and find the biggest common factor number .

Step-1: 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-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 39422

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

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

Step-4: Factors of 39430

List of positive integer factors of 39430 that divides 39422 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39422 and 39430. The biggest common factor number is the GCF number.
So the greatest common factor 39422 and 39430 is 2.

Also check out the Least Common Multiple of 39422 and 39430