What is the Greatest Common Factor of 39776 and 39790?

Greatest common factor (GCF) of 39776 and 39790 is 2.

GCF(39776,39790) = 2

We will now calculate the prime factors of 39776 and 39790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39776 and 39790.

How to find the GCF of 39776 and 39790?

We will first find the prime factorization of 39776 and 39790. After we will calculate the factors of 39776 and 39790 and find the biggest common factor number .

Step-1: Prime Factorization of 39776

Prime factors of 39776 are 2, 11, 113. Prime factorization of 39776 in exponential form is:

39776 = 2⁵ × 11¹ × 113¹

Step-2: Prime Factorization of 39790

Prime factors of 39790 are 2, 5, 23, 173. Prime factorization of 39790 in exponential form is:

39790 = 2¹ × 5¹ × 23¹ × 173¹

Step-3: Factors of 39776

List of positive integer factors of 39776 that divides 39776 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 113, 176, 226, 352, 452, 904, 1243, 1808, 2486, 3616, 4972, 9944, 19888

Step-4: Factors of 39790

List of positive integer factors of 39790 that divides 39776 without a remainder.

1, 2, 5, 10, 23, 46, 115, 173, 230, 346, 865, 1730, 3979, 7958, 19895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39776 and 39790. The biggest common factor number is the GCF number.
So the greatest common factor 39776 and 39790 is 2.

Also check out the Least Common Multiple of 39776 and 39790