What is the Greatest Common Factor of 38036 and 38045?

Greatest common factor (GCF) of 38036 and 38045 is 1.

GCF(38036,38045) = 1

We will now calculate the prime factors of 38036 and 38045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38036 and 38045.

How to find the GCF of 38036 and 38045?

We will first find the prime factorization of 38036 and 38045. After we will calculate the factors of 38036 and 38045 and find the biggest common factor number .

Step-1: Prime Factorization of 38036

Prime factors of 38036 are 2, 37, 257. Prime factorization of 38036 in exponential form is:

38036 = 2² × 37¹ × 257¹

Step-2: Prime Factorization of 38045

Prime factors of 38045 are 5, 7, 1087. Prime factorization of 38045 in exponential form is:

38045 = 5¹ × 7¹ × 1087¹

Step-3: Factors of 38036

List of positive integer factors of 38036 that divides 38036 without a remainder.

1, 2, 4, 37, 74, 148, 257, 514, 1028, 9509, 19018

Step-4: Factors of 38045

List of positive integer factors of 38045 that divides 38036 without a remainder.

1, 5, 7, 35, 1087, 5435, 7609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38036 and 38045. The biggest common factor number is the GCF number.
So the greatest common factor 38036 and 38045 is 1.

Also check out the Least Common Multiple of 38036 and 38045