What is the Greatest Common Factor of 38374 and 38389?

Greatest common factor (GCF) of 38374 and 38389 is 1.

GCF(38374,38389) = 1

We will now calculate the prime factors of 38374 and 38389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38374 and 38389.

How to find the GCF of 38374 and 38389?

We will first find the prime factorization of 38374 and 38389. After we will calculate the factors of 38374 and 38389 and find the biggest common factor number .

Step-1: Prime Factorization of 38374

Prime factors of 38374 are 2, 7, 2741. Prime factorization of 38374 in exponential form is:

38374 = 2¹ × 7¹ × 2741¹

Step-2: Prime Factorization of 38389

Prime factors of 38389 are 13, 2953. Prime factorization of 38389 in exponential form is:

38389 = 13¹ × 2953¹

Step-3: Factors of 38374

List of positive integer factors of 38374 that divides 38374 without a remainder.

1, 2, 7, 14, 2741, 5482, 19187

Step-4: Factors of 38389

List of positive integer factors of 38389 that divides 38374 without a remainder.

1, 13, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38374 and 38389. The biggest common factor number is the GCF number.
So the greatest common factor 38374 and 38389 is 1.

Also check out the Least Common Multiple of 38374 and 38389