What is the Greatest Common Factor of 39280 and 39290?

Greatest common factor (GCF) of 39280 and 39290 is 10.

GCF(39280,39290) = 10

We will now calculate the prime factors of 39280 and 39290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39280 and 39290.

How to find the GCF of 39280 and 39290?

We will first find the prime factorization of 39280 and 39290. After we will calculate the factors of 39280 and 39290 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 39290

Prime factors of 39290 are 2, 5, 3929. Prime factorization of 39290 in exponential form is:

39290 = 2¹ × 5¹ × 3929¹

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 39290

List of positive integer factors of 39290 that divides 39280 without a remainder.

1, 2, 5, 10, 3929, 7858, 19645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39280 and 39290. The biggest common factor number is the GCF number.
So the greatest common factor 39280 and 39290 is 10.

Also check out the Least Common Multiple of 39280 and 39290