What is the Greatest Common Factor of 38724 and 38738?

Greatest common factor (GCF) of 38724 and 38738 is 14.

GCF(38724,38738) = 14

We will now calculate the prime factors of 38724 and 38738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38724 and 38738.

How to find the GCF of 38724 and 38738?

We will first find the prime factorization of 38724 and 38738. After we will calculate the factors of 38724 and 38738 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 38738

Prime factors of 38738 are 2, 7, 2767. Prime factorization of 38738 in exponential form is:

38738 = 2¹ × 7¹ × 2767¹

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 38738

List of positive integer factors of 38738 that divides 38724 without a remainder.

1, 2, 7, 14, 2767, 5534, 19369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38724 and 38738. The biggest common factor number is the GCF number.
So the greatest common factor 38724 and 38738 is 14.

Also check out the Least Common Multiple of 38724 and 38738