What is the Greatest Common Factor of 37065 and 37071?

Greatest common factor (GCF) of 37065 and 37071 is 3.

GCF(37065,37071) = 3

We will now calculate the prime factors of 37065 and 37071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37065 and 37071.

How to find the GCF of 37065 and 37071?

We will first find the prime factorization of 37065 and 37071. After we will calculate the factors of 37065 and 37071 and find the biggest common factor number .

Step-1: Prime Factorization of 37065

Prime factors of 37065 are 3, 5, 7, 353. Prime factorization of 37065 in exponential form is:

37065 = 3¹ × 5¹ × 7¹ × 353¹

Step-2: Prime Factorization of 37071

Prime factors of 37071 are 3, 1373. Prime factorization of 37071 in exponential form is:

37071 = 3³ × 1373¹

Step-3: Factors of 37065

List of positive integer factors of 37065 that divides 37065 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 353, 1059, 1765, 2471, 5295, 7413, 12355

Step-4: Factors of 37071

List of positive integer factors of 37071 that divides 37065 without a remainder.

1, 3, 9, 27, 1373, 4119, 12357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37065 and 37071. The biggest common factor number is the GCF number.
So the greatest common factor 37065 and 37071 is 3.

Also check out the Least Common Multiple of 37065 and 37071