What is the Greatest Common Factor of 39280 and 39285?

Greatest common factor (GCF) of 39280 and 39285 is 5.

GCF(39280,39285) = 5

We will now calculate the prime factors of 39280 and 39285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39280 and 39285.

How to find the GCF of 39280 and 39285?

We will first find the prime factorization of 39280 and 39285. After we will calculate the factors of 39280 and 39285 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 39285

Prime factors of 39285 are 3, 5, 97. Prime factorization of 39285 in exponential form is:

39285 = 3⁴ × 5¹ × 97¹

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 39285

List of positive integer factors of 39285 that divides 39280 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 97, 135, 291, 405, 485, 873, 1455, 2619, 4365, 7857, 13095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39280 and 39285. The biggest common factor number is the GCF number.
So the greatest common factor 39280 and 39285 is 5.

Also check out the Least Common Multiple of 39280 and 39285