What is the Greatest Common Factor of 37995 and 38015?

Greatest common factor (GCF) of 37995 and 38015 is 5.

GCF(37995,38015) = 5

We will now calculate the prime factors of 37995 and 38015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37995 and 38015.

How to find the GCF of 37995 and 38015?

We will first find the prime factorization of 37995 and 38015. After we will calculate the factors of 37995 and 38015 and find the biggest common factor number .

Step-1: Prime Factorization of 37995

Prime factors of 37995 are 3, 5, 17, 149. Prime factorization of 37995 in exponential form is:

37995 = 3¹ × 5¹ × 17¹ × 149¹

Step-2: Prime Factorization of 38015

Prime factors of 38015 are 5, 7603. Prime factorization of 38015 in exponential form is:

38015 = 5¹ × 7603¹

Step-3: Factors of 37995

List of positive integer factors of 37995 that divides 37995 without a remainder.

1, 3, 5, 15, 17, 51, 85, 149, 255, 447, 745, 2235, 2533, 7599, 12665

Step-4: Factors of 38015

List of positive integer factors of 38015 that divides 37995 without a remainder.

1, 5, 7603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37995 and 38015. The biggest common factor number is the GCF number.
So the greatest common factor 37995 and 38015 is 5.

Also check out the Least Common Multiple of 37995 and 38015