What is the Greatest Common Factor of 38724 and 38742?

Greatest common factor (GCF) of 38724 and 38742 is 6.

GCF(38724,38742) = 6

We will now calculate the prime factors of 38724 and 38742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38724 and 38742.

How to find the GCF of 38724 and 38742?

We will first find the prime factorization of 38724 and 38742. After we will calculate the factors of 38724 and 38742 and find the biggest common factor number .

Step-1: Prime Factorization of 38724

Prime factors of 38724 are 2, 3, 7, 461. Prime factorization of 38724 in exponential form is:

38724 = 2² × 3¹ × 7¹ × 461¹

Step-2: Prime Factorization of 38742

Prime factors of 38742 are 2, 3, 11, 587. Prime factorization of 38742 in exponential form is:

38742 = 2¹ × 3¹ × 11¹ × 587¹

Step-3: Factors of 38724

List of positive integer factors of 38724 that divides 38724 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 461, 922, 1383, 1844, 2766, 3227, 5532, 6454, 9681, 12908, 19362

Step-4: Factors of 38742

List of positive integer factors of 38742 that divides 38724 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 587, 1174, 1761, 3522, 6457, 12914, 19371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38724 and 38742. The biggest common factor number is the GCF number.
So the greatest common factor 38724 and 38742 is 6.

Also check out the Least Common Multiple of 38724 and 38742