What is the Greatest Common Factor of 38354 and 38373?

Greatest common factor (GCF) of 38354 and 38373 is 1.

GCF(38354,38373) = 1

We will now calculate the prime factors of 38354 and 38373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38354 and 38373.

How to find the GCF of 38354 and 38373?

We will first find the prime factorization of 38354 and 38373. After we will calculate the factors of 38354 and 38373 and find the biggest common factor number .

Step-1: Prime Factorization of 38354

Prime factors of 38354 are 2, 127, 151. Prime factorization of 38354 in exponential form is:

38354 = 2¹ × 127¹ × 151¹

Step-2: Prime Factorization of 38373

Prime factors of 38373 are 3, 12791. Prime factorization of 38373 in exponential form is:

38373 = 3¹ × 12791¹

Step-3: Factors of 38354

List of positive integer factors of 38354 that divides 38354 without a remainder.

1, 2, 127, 151, 254, 302, 19177

Step-4: Factors of 38373

List of positive integer factors of 38373 that divides 38354 without a remainder.

1, 3, 12791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38354 and 38373. The biggest common factor number is the GCF number.
So the greatest common factor 38354 and 38373 is 1.

Also check out the Least Common Multiple of 38354 and 38373