What is the Greatest Common Factor of 39280 and 39296?

Greatest common factor (GCF) of 39280 and 39296 is 16.

GCF(39280,39296) = 16

We will now calculate the prime factors of 39280 and 39296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39280 and 39296.

How to find the GCF of 39280 and 39296?

We will first find the prime factorization of 39280 and 39296. After we will calculate the factors of 39280 and 39296 and find the biggest common factor number .

Step-1: Prime Factorization of 39280

Prime factors of 39280 are 2, 5, 491. Prime factorization of 39280 in exponential form is:

39280 = 2⁴ × 5¹ × 491¹

Step-2: Prime Factorization of 39296

Prime factors of 39296 are 2, 307. Prime factorization of 39296 in exponential form is:

39296 = 2⁷ × 307¹

Step-3: Factors of 39280

List of positive integer factors of 39280 that divides 39280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 19640

Step-4: Factors of 39296

List of positive integer factors of 39296 that divides 39280 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 307, 614, 1228, 2456, 4912, 9824, 19648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39280 and 39296. The biggest common factor number is the GCF number.
So the greatest common factor 39280 and 39296 is 16.

Also check out the Least Common Multiple of 39280 and 39296