What is the Greatest Common Factor of 35728 and 35739?

Greatest common factor (GCF) of 35728 and 35739 is 11.

GCF(35728,35739) = 11

We will now calculate the prime factors of 35728 and 35739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35728 and 35739.

How to find the GCF of 35728 and 35739?

We will first find the prime factorization of 35728 and 35739. After we will calculate the factors of 35728 and 35739 and find the biggest common factor number .

Step-1: Prime Factorization of 35728

Prime factors of 35728 are 2, 7, 11, 29. Prime factorization of 35728 in exponential form is:

35728 = 2⁴ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 35739

Prime factors of 35739 are 3, 11, 19. Prime factorization of 35739 in exponential form is:

35739 = 3² × 11¹ × 19²

Step-3: Factors of 35728

List of positive integer factors of 35728 that divides 35728 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 44, 56, 58, 77, 88, 112, 116, 154, 176, 203, 232, 308, 319, 406, 464, 616, 638, 812, 1232, 1276, 1624, 2233, 2552, 3248, 4466, 5104, 8932, 17864

Step-4: Factors of 35739

List of positive integer factors of 35739 that divides 35728 without a remainder.

1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 361, 627, 1083, 1881, 3249, 3971, 11913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35728 and 35739. The biggest common factor number is the GCF number.
So the greatest common factor 35728 and 35739 is 11.

Also check out the Least Common Multiple of 35728 and 35739