What is the Greatest Common Factor of 39728 and 39736?

Greatest common factor (GCF) of 39728 and 39736 is 8.

GCF(39728,39736) = 8

We will now calculate the prime factors of 39728 and 39736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39728 and 39736.

How to find the GCF of 39728 and 39736?

We will first find the prime factorization of 39728 and 39736. After we will calculate the factors of 39728 and 39736 and find the biggest common factor number .

Step-1: Prime Factorization of 39728

Prime factors of 39728 are 2, 13, 191. Prime factorization of 39728 in exponential form is:

39728 = 2⁴ × 13¹ × 191¹

Step-2: Prime Factorization of 39736

Prime factors of 39736 are 2, 4967. Prime factorization of 39736 in exponential form is:

39736 = 2³ × 4967¹

Step-3: Factors of 39728

List of positive integer factors of 39728 that divides 39728 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 191, 208, 382, 764, 1528, 2483, 3056, 4966, 9932, 19864

Step-4: Factors of 39736

List of positive integer factors of 39736 that divides 39728 without a remainder.

1, 2, 4, 8, 4967, 9934, 19868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39728 and 39736. The biggest common factor number is the GCF number.
So the greatest common factor 39728 and 39736 is 8.

Also check out the Least Common Multiple of 39728 and 39736