What is the Greatest Common Factor of 38660 and 38680?

Greatest common factor (GCF) of 38660 and 38680 is 20.

GCF(38660,38680) = 20

We will now calculate the prime factors of 38660 and 38680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38660 and 38680.

How to find the GCF of 38660 and 38680?

We will first find the prime factorization of 38660 and 38680. After we will calculate the factors of 38660 and 38680 and find the biggest common factor number .

Step-1: Prime Factorization of 38660

Prime factors of 38660 are 2, 5, 1933. Prime factorization of 38660 in exponential form is:

38660 = 2² × 5¹ × 1933¹

Step-2: Prime Factorization of 38680

Prime factors of 38680 are 2, 5, 967. Prime factorization of 38680 in exponential form is:

38680 = 2³ × 5¹ × 967¹

Step-3: Factors of 38660

List of positive integer factors of 38660 that divides 38660 without a remainder.

1, 2, 4, 5, 10, 20, 1933, 3866, 7732, 9665, 19330

Step-4: Factors of 38680

List of positive integer factors of 38680 that divides 38660 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 967, 1934, 3868, 4835, 7736, 9670, 19340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38660 and 38680. The biggest common factor number is the GCF number.
So the greatest common factor 38660 and 38680 is 20.

Also check out the Least Common Multiple of 38660 and 38680