What is the Greatest Common Factor of 39358 and 39376?

Greatest common factor (GCF) of 39358 and 39376 is 2.

GCF(39358,39376) = 2

We will now calculate the prime factors of 39358 and 39376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39358 and 39376.

How to find the GCF of 39358 and 39376?

We will first find the prime factorization of 39358 and 39376. After we will calculate the factors of 39358 and 39376 and find the biggest common factor number .

Step-1: Prime Factorization of 39358

Prime factors of 39358 are 2, 11, 1789. Prime factorization of 39358 in exponential form is:

39358 = 2¹ × 11¹ × 1789¹

Step-2: Prime Factorization of 39376

Prime factors of 39376 are 2, 23, 107. Prime factorization of 39376 in exponential form is:

39376 = 2⁴ × 23¹ × 107¹

Step-3: Factors of 39358

List of positive integer factors of 39358 that divides 39358 without a remainder.

1, 2, 11, 22, 1789, 3578, 19679

Step-4: Factors of 39376

List of positive integer factors of 39376 that divides 39358 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 107, 184, 214, 368, 428, 856, 1712, 2461, 4922, 9844, 19688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39358 and 39376. The biggest common factor number is the GCF number.
So the greatest common factor 39358 and 39376 is 2.

Also check out the Least Common Multiple of 39358 and 39376