What is the Greatest Common Factor of 37665 and 37673?

Greatest common factor (GCF) of 37665 and 37673 is 1.

GCF(37665,37673) = 1

We will now calculate the prime factors of 37665 and 37673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37665 and 37673.

How to find the GCF of 37665 and 37673?

We will first find the prime factorization of 37665 and 37673. After we will calculate the factors of 37665 and 37673 and find the biggest common factor number .

Step-1: Prime Factorization of 37665

Prime factors of 37665 are 3, 5, 31. Prime factorization of 37665 in exponential form is:

37665 = 3⁵ × 5¹ × 31¹

Step-2: Prime Factorization of 37673

Prime factors of 37673 are 101, 373. Prime factorization of 37673 in exponential form is:

37673 = 101¹ × 373¹

Step-3: Factors of 37665

List of positive integer factors of 37665 that divides 37665 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 81, 93, 135, 155, 243, 279, 405, 465, 837, 1215, 1395, 2511, 4185, 7533, 12555

Step-4: Factors of 37673

List of positive integer factors of 37673 that divides 37665 without a remainder.

1, 101, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37665 and 37673. The biggest common factor number is the GCF number.
So the greatest common factor 37665 and 37673 is 1.

Also check out the Least Common Multiple of 37665 and 37673