What is the Greatest Common Factor of 37903 and 37922?

Greatest common factor (GCF) of 37903 and 37922 is 1.

GCF(37903,37922) = 1

We will now calculate the prime factors of 37903 and 37922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37903 and 37922.

How to find the GCF of 37903 and 37922?

We will first find the prime factorization of 37903 and 37922. After we will calculate the factors of 37903 and 37922 and find the biggest common factor number .

Step-1: Prime Factorization of 37903

Prime factors of 37903 are 29, 1307. Prime factorization of 37903 in exponential form is:

37903 = 29¹ × 1307¹

Step-2: Prime Factorization of 37922

Prime factors of 37922 are 2, 67, 283. Prime factorization of 37922 in exponential form is:

37922 = 2¹ × 67¹ × 283¹

Step-3: Factors of 37903

List of positive integer factors of 37903 that divides 37903 without a remainder.

1, 29, 1307

Step-4: Factors of 37922

List of positive integer factors of 37922 that divides 37903 without a remainder.

1, 2, 67, 134, 283, 566, 18961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37903 and 37922. The biggest common factor number is the GCF number.
So the greatest common factor 37903 and 37922 is 1.

Also check out the Least Common Multiple of 37903 and 37922