What is the Greatest Common Factor of 39728 and 39741?

Greatest common factor (GCF) of 39728 and 39741 is 13.

GCF(39728,39741) = 13

We will now calculate the prime factors of 39728 and 39741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39728 and 39741.

How to find the GCF of 39728 and 39741?

We will first find the prime factorization of 39728 and 39741. After we will calculate the factors of 39728 and 39741 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 39741

Prime factors of 39741 are 3, 13, 1019. Prime factorization of 39741 in exponential form is:

39741 = 3¹ × 13¹ × 1019¹

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 39741

List of positive integer factors of 39741 that divides 39728 without a remainder.

1, 3, 13, 39, 1019, 3057, 13247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39728 and 39741. The biggest common factor number is the GCF number.
So the greatest common factor 39728 and 39741 is 13.

Also check out the Least Common Multiple of 39728 and 39741