What is the Greatest Common Factor of 38194 and 38207?

Greatest common factor (GCF) of 38194 and 38207 is 13.

GCF(38194,38207) = 13

We will now calculate the prime factors of 38194 and 38207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38194 and 38207.

How to find the GCF of 38194 and 38207?

We will first find the prime factorization of 38194 and 38207. After we will calculate the factors of 38194 and 38207 and find the biggest common factor number .

Step-1: Prime Factorization of 38194

Prime factors of 38194 are 2, 13, 113. Prime factorization of 38194 in exponential form is:

38194 = 2¹ × 13² × 113¹

Step-2: Prime Factorization of 38207

Prime factors of 38207 are 13, 2939. Prime factorization of 38207 in exponential form is:

38207 = 13¹ × 2939¹

Step-3: Factors of 38194

List of positive integer factors of 38194 that divides 38194 without a remainder.

1, 2, 13, 26, 113, 169, 226, 338, 1469, 2938, 19097

Step-4: Factors of 38207

List of positive integer factors of 38207 that divides 38194 without a remainder.

1, 13, 2939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38194 and 38207. The biggest common factor number is the GCF number.
So the greatest common factor 38194 and 38207 is 13.

Also check out the Least Common Multiple of 38194 and 38207