What is the Greatest Common Factor of 39715 and 39728?

Greatest common factor (GCF) of 39715 and 39728 is 13.

GCF(39715,39728) = 13

We will now calculate the prime factors of 39715 and 39728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39715 and 39728.

How to find the GCF of 39715 and 39728?

We will first find the prime factorization of 39715 and 39728. After we will calculate the factors of 39715 and 39728 and find the biggest common factor number .

Step-1: Prime Factorization of 39715

Prime factors of 39715 are 5, 13, 47. Prime factorization of 39715 in exponential form is:

39715 = 5¹ × 13² × 47¹

Step-2: 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-3: Factors of 39715

List of positive integer factors of 39715 that divides 39715 without a remainder.

1, 5, 13, 47, 65, 169, 235, 611, 845, 3055, 7943

Step-4: Factors of 39728

List of positive integer factors of 39728 that divides 39715 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39715 and 39728. The biggest common factor number is the GCF number.
So the greatest common factor 39715 and 39728 is 13.

Also check out the Least Common Multiple of 39715 and 39728