What is the Greatest Common Factor of 38714 and 38724?

Greatest common factor (GCF) of 38714 and 38724 is 2.

GCF(38714,38724) = 2

We will now calculate the prime factors of 38714 and 38724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38714 and 38724.

How to find the GCF of 38714 and 38724?

We will first find the prime factorization of 38714 and 38724. After we will calculate the factors of 38714 and 38724 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 38724

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

38724 = 2² × 3¹ × 7¹ × 461¹

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 38724

List of positive integer factors of 38724 that divides 38714 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38714 and 38724. The biggest common factor number is the GCF number.
So the greatest common factor 38714 and 38724 is 2.

Also check out the Least Common Multiple of 38714 and 38724