What is the Greatest Common Factor of 39658 and 39678?

Greatest common factor (GCF) of 39658 and 39678 is 2.

GCF(39658,39678) = 2

We will now calculate the prime factors of 39658 and 39678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39658 and 39678.

How to find the GCF of 39658 and 39678?

We will first find the prime factorization of 39658 and 39678. After we will calculate the factors of 39658 and 39678 and find the biggest common factor number .

Step-1: Prime Factorization of 39658

Prime factors of 39658 are 2, 79, 251. Prime factorization of 39658 in exponential form is:

39658 = 2¹ × 79¹ × 251¹

Step-2: Prime Factorization of 39678

Prime factors of 39678 are 2, 3, 17, 389. Prime factorization of 39678 in exponential form is:

39678 = 2¹ × 3¹ × 17¹ × 389¹

Step-3: Factors of 39658

List of positive integer factors of 39658 that divides 39658 without a remainder.

1, 2, 79, 158, 251, 502, 19829

Step-4: Factors of 39678

List of positive integer factors of 39678 that divides 39658 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 389, 778, 1167, 2334, 6613, 13226, 19839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39658 and 39678. The biggest common factor number is the GCF number.
So the greatest common factor 39658 and 39678 is 2.

Also check out the Least Common Multiple of 39658 and 39678