What is the Greatest Common Factor of 37053 and 37065?

Greatest common factor (GCF) of 37053 and 37065 is 3.

GCF(37053,37065) = 3

We will now calculate the prime factors of 37053 and 37065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37053 and 37065.

How to find the GCF of 37053 and 37065?

We will first find the prime factorization of 37053 and 37065. After we will calculate the factors of 37053 and 37065 and find the biggest common factor number .

Step-1: Prime Factorization of 37053

Prime factors of 37053 are 3, 23, 179. Prime factorization of 37053 in exponential form is:

37053 = 3² × 23¹ × 179¹

Step-2: 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-3: Factors of 37053

List of positive integer factors of 37053 that divides 37053 without a remainder.

1, 3, 9, 23, 69, 179, 207, 537, 1611, 4117, 12351

Step-4: Factors of 37065

List of positive integer factors of 37065 that divides 37053 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37053 and 37065. The biggest common factor number is the GCF number.
So the greatest common factor 37053 and 37065 is 3.

Also check out the Least Common Multiple of 37053 and 37065