What is the Greatest Common Factor of 38165 and 38175?

Greatest common factor (GCF) of 38165 and 38175 is 5.

GCF(38165,38175) = 5

We will now calculate the prime factors of 38165 and 38175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38165 and 38175.

How to find the GCF of 38165 and 38175?

We will first find the prime factorization of 38165 and 38175. After we will calculate the factors of 38165 and 38175 and find the biggest common factor number .

Step-1: Prime Factorization of 38165

Prime factors of 38165 are 5, 17, 449. Prime factorization of 38165 in exponential form is:

38165 = 5¹ × 17¹ × 449¹

Step-2: Prime Factorization of 38175

Prime factors of 38175 are 3, 5, 509. Prime factorization of 38175 in exponential form is:

38175 = 3¹ × 5² × 509¹

Step-3: Factors of 38165

List of positive integer factors of 38165 that divides 38165 without a remainder.

1, 5, 17, 85, 449, 2245, 7633

Step-4: Factors of 38175

List of positive integer factors of 38175 that divides 38165 without a remainder.

1, 3, 5, 15, 25, 75, 509, 1527, 2545, 7635, 12725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38165 and 38175. The biggest common factor number is the GCF number.
So the greatest common factor 38165 and 38175 is 5.

Also check out the Least Common Multiple of 38165 and 38175