What is the Greatest Common Factor of 38714 and 38734?

Greatest common factor (GCF) of 38714 and 38734 is 2.

GCF(38714,38734) = 2

We will now calculate the prime factors of 38714 and 38734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38714 and 38734.

How to find the GCF of 38714 and 38734?

We will first find the prime factorization of 38714 and 38734. After we will calculate the factors of 38714 and 38734 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 38734

Prime factors of 38734 are 2, 107, 181. Prime factorization of 38734 in exponential form is:

38734 = 2¹ × 107¹ × 181¹

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 38734

List of positive integer factors of 38734 that divides 38714 without a remainder.

1, 2, 107, 181, 214, 362, 19367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38714 and 38734. The biggest common factor number is the GCF number.
So the greatest common factor 38714 and 38734 is 2.

Also check out the Least Common Multiple of 38714 and 38734