What is the Greatest Common Factor of 38714 and 38727?

Greatest common factor (GCF) of 38714 and 38727 is 13.

GCF(38714,38727) = 13

We will now calculate the prime factors of 38714 and 38727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38714 and 38727.

How to find the GCF of 38714 and 38727?

We will first find the prime factorization of 38714 and 38727. After we will calculate the factors of 38714 and 38727 and find the biggest common factor number .

Step-1: Prime Factorization of 38714

Prime factors of 38714 are 2, 13, 1489. Prime factorization of 38714 in exponential form is:

38714 = 2¹ × 13¹ × 1489¹

Step-2: Prime Factorization of 38727

Prime factors of 38727 are 3, 13, 331. Prime factorization of 38727 in exponential form is:

38727 = 3² × 13¹ × 331¹

Step-3: Factors of 38714

List of positive integer factors of 38714 that divides 38714 without a remainder.

1, 2, 13, 26, 1489, 2978, 19357

Step-4: Factors of 38727

List of positive integer factors of 38727 that divides 38714 without a remainder.

1, 3, 9, 13, 39, 117, 331, 993, 2979, 4303, 12909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38714 and 38727. The biggest common factor number is the GCF number.
So the greatest common factor 38714 and 38727 is 13.

Also check out the Least Common Multiple of 38714 and 38727