What is the Greatest Common Factor of 38234 and 38248?

Greatest common factor (GCF) of 38234 and 38248 is 14.

GCF(38234,38248) = 14

We will now calculate the prime factors of 38234 and 38248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38234 and 38248.

How to find the GCF of 38234 and 38248?

We will first find the prime factorization of 38234 and 38248. After we will calculate the factors of 38234 and 38248 and find the biggest common factor number .

Step-1: Prime Factorization of 38234

Prime factors of 38234 are 2, 7, 2731. Prime factorization of 38234 in exponential form is:

38234 = 2¹ × 7¹ × 2731¹

Step-2: Prime Factorization of 38248

Prime factors of 38248 are 2, 7, 683. Prime factorization of 38248 in exponential form is:

38248 = 2³ × 7¹ × 683¹

Step-3: Factors of 38234

List of positive integer factors of 38234 that divides 38234 without a remainder.

1, 2, 7, 14, 2731, 5462, 19117

Step-4: Factors of 38248

List of positive integer factors of 38248 that divides 38234 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 683, 1366, 2732, 4781, 5464, 9562, 19124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38234 and 38248. The biggest common factor number is the GCF number.
So the greatest common factor 38234 and 38248 is 14.

Also check out the Least Common Multiple of 38234 and 38248