What is the Greatest Common Factor of 38914 and 38932?

Greatest common factor (GCF) of 38914 and 38932 is 2.

GCF(38914,38932) = 2

We will now calculate the prime factors of 38914 and 38932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38914 and 38932.

How to find the GCF of 38914 and 38932?

We will first find the prime factorization of 38914 and 38932. After we will calculate the factors of 38914 and 38932 and find the biggest common factor number .

Step-1: Prime Factorization of 38914

Prime factors of 38914 are 2, 19457. Prime factorization of 38914 in exponential form is:

38914 = 2¹ × 19457¹

Step-2: Prime Factorization of 38932

Prime factors of 38932 are 2, 9733. Prime factorization of 38932 in exponential form is:

38932 = 2² × 9733¹

Step-3: Factors of 38914

List of positive integer factors of 38914 that divides 38914 without a remainder.

1, 2, 19457

Step-4: Factors of 38932

List of positive integer factors of 38932 that divides 38914 without a remainder.

1, 2, 4, 9733, 19466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38914 and 38932. The biggest common factor number is the GCF number.
So the greatest common factor 38914 and 38932 is 2.

Also check out the Least Common Multiple of 38914 and 38932