What is the Greatest Common Factor of 38077 and 38083?

Greatest common factor (GCF) of 38077 and 38083 is 1.

GCF(38077,38083) = 1

We will now calculate the prime factors of 38077 and 38083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38077 and 38083.

How to find the GCF of 38077 and 38083?

We will first find the prime factorization of 38077 and 38083. After we will calculate the factors of 38077 and 38083 and find the biggest common factor number .

Step-1: Prime Factorization of 38077

Prime factors of 38077 are 13, 29, 101. Prime factorization of 38077 in exponential form is:

38077 = 13¹ × 29¹ × 101¹

Step-2: Prime Factorization of 38083

Prime factors of 38083 are 38083. Prime factorization of 38083 in exponential form is:

38083 = 38083¹

Step-3: Factors of 38077

List of positive integer factors of 38077 that divides 38077 without a remainder.

1, 13, 29, 101, 377, 1313, 2929

Step-4: Factors of 38083

List of positive integer factors of 38083 that divides 38077 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38077 and 38083. The biggest common factor number is the GCF number.
So the greatest common factor 38077 and 38083 is 1.

Also check out the Least Common Multiple of 38077 and 38083