What is the Greatest Common Factor of 38906 and 38926?

Greatest common factor (GCF) of 38906 and 38926 is 2.

GCF(38906,38926) = 2

We will now calculate the prime factors of 38906 and 38926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38906 and 38926.

How to find the GCF of 38906 and 38926?

We will first find the prime factorization of 38906 and 38926. After we will calculate the factors of 38906 and 38926 and find the biggest common factor number .

Step-1: Prime Factorization of 38906

Prime factors of 38906 are 2, 7, 397. Prime factorization of 38906 in exponential form is:

38906 = 2¹ × 7² × 397¹

Step-2: Prime Factorization of 38926

Prime factors of 38926 are 2, 19463. Prime factorization of 38926 in exponential form is:

38926 = 2¹ × 19463¹

Step-3: Factors of 38906

List of positive integer factors of 38906 that divides 38906 without a remainder.

1, 2, 7, 14, 49, 98, 397, 794, 2779, 5558, 19453

Step-4: Factors of 38926

List of positive integer factors of 38926 that divides 38906 without a remainder.

1, 2, 19463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38906 and 38926. The biggest common factor number is the GCF number.
So the greatest common factor 38906 and 38926 is 2.

Also check out the Least Common Multiple of 38906 and 38926