What is the Greatest Common Factor of 38670 and 38684?

Greatest common factor (GCF) of 38670 and 38684 is 2.

GCF(38670,38684) = 2

We will now calculate the prime factors of 38670 and 38684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38670 and 38684.

How to find the GCF of 38670 and 38684?

We will first find the prime factorization of 38670 and 38684. After we will calculate the factors of 38670 and 38684 and find the biggest common factor number .

Step-1: Prime Factorization of 38670

Prime factors of 38670 are 2, 3, 5, 1289. Prime factorization of 38670 in exponential form is:

38670 = 2¹ × 3¹ × 5¹ × 1289¹

Step-2: Prime Factorization of 38684

Prime factors of 38684 are 2, 19, 509. Prime factorization of 38684 in exponential form is:

38684 = 2² × 19¹ × 509¹

Step-3: Factors of 38670

List of positive integer factors of 38670 that divides 38670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1289, 2578, 3867, 6445, 7734, 12890, 19335

Step-4: Factors of 38684

List of positive integer factors of 38684 that divides 38670 without a remainder.

1, 2, 4, 19, 38, 76, 509, 1018, 2036, 9671, 19342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38670 and 38684. The biggest common factor number is the GCF number.
So the greatest common factor 38670 and 38684 is 2.

Also check out the Least Common Multiple of 38670 and 38684