What is the Greatest Common Factor of 39280 and 39284?

Greatest common factor (GCF) of 39280 and 39284 is 4.

GCF(39280,39284) = 4

We will now calculate the prime factors of 39280 and 39284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39280 and 39284.

How to find the GCF of 39280 and 39284?

We will first find the prime factorization of 39280 and 39284. After we will calculate the factors of 39280 and 39284 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 39284

Prime factors of 39284 are 2, 7, 23, 61. Prime factorization of 39284 in exponential form is:

39284 = 2² × 7¹ × 23¹ × 61¹

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 39284

List of positive integer factors of 39284 that divides 39280 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 61, 92, 122, 161, 244, 322, 427, 644, 854, 1403, 1708, 2806, 5612, 9821, 19642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39280 and 39284. The biggest common factor number is the GCF number.
So the greatest common factor 39280 and 39284 is 4.

Also check out the Least Common Multiple of 39280 and 39284