What is the Greatest Common Factor of 38351 and 38361?

Greatest common factor (GCF) of 38351 and 38361 is 1.

GCF(38351,38361) = 1

We will now calculate the prime factors of 38351 and 38361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38351 and 38361.

How to find the GCF of 38351 and 38361?

We will first find the prime factorization of 38351 and 38361. After we will calculate the factors of 38351 and 38361 and find the biggest common factor number .

Step-1: Prime Factorization of 38351

Prime factors of 38351 are 38351. Prime factorization of 38351 in exponential form is:

38351 = 38351¹

Step-2: Prime Factorization of 38361

Prime factors of 38361 are 3, 19, 673. Prime factorization of 38361 in exponential form is:

38361 = 3¹ × 19¹ × 673¹

Step-3: Factors of 38351

List of positive integer factors of 38351 that divides 38351 without a remainder.

Step-4: Factors of 38361

List of positive integer factors of 38361 that divides 38351 without a remainder.

1, 3, 19, 57, 673, 2019, 12787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38351 and 38361. The biggest common factor number is the GCF number.
So the greatest common factor 38351 and 38361 is 1.

Also check out the Least Common Multiple of 38351 and 38361