What is the Greatest Common Factor of 38045 and 38049?

Greatest common factor (GCF) of 38045 and 38049 is 1.

GCF(38045,38049) = 1

We will now calculate the prime factors of 38045 and 38049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38045 and 38049.

How to find the GCF of 38045 and 38049?

We will first find the prime factorization of 38045 and 38049. After we will calculate the factors of 38045 and 38049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38049

Prime factors of 38049 are 3, 11, 1153. Prime factorization of 38049 in exponential form is:

38049 = 3¹ × 11¹ × 1153¹

Step-3: Factors of 38045

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

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

Step-4: Factors of 38049

List of positive integer factors of 38049 that divides 38045 without a remainder.

1, 3, 11, 33, 1153, 3459, 12683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38045 and 38049. The biggest common factor number is the GCF number.
So the greatest common factor 38045 and 38049 is 1.

Also check out the Least Common Multiple of 38045 and 38049