What is the Greatest Common Factor of 38724 and 38739?

Greatest common factor (GCF) of 38724 and 38739 is 3.

GCF(38724,38739) = 3

We will now calculate the prime factors of 38724 and 38739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38724 and 38739.

How to find the GCF of 38724 and 38739?

We will first find the prime factorization of 38724 and 38739. After we will calculate the factors of 38724 and 38739 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 38739

Prime factors of 38739 are 3, 37, 349. Prime factorization of 38739 in exponential form is:

38739 = 3¹ × 37¹ × 349¹

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 38739

List of positive integer factors of 38739 that divides 38724 without a remainder.

1, 3, 37, 111, 349, 1047, 12913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38724 and 38739. The biggest common factor number is the GCF number.
So the greatest common factor 38724 and 38739 is 3.

Also check out the Least Common Multiple of 38724 and 38739