What is the Greatest Common Factor of 37665 and 37669?

Greatest common factor (GCF) of 37665 and 37669 is 1.

GCF(37665,37669) = 1

We will now calculate the prime factors of 37665 and 37669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37665 and 37669.

How to find the GCF of 37665 and 37669?

We will first find the prime factorization of 37665 and 37669. After we will calculate the factors of 37665 and 37669 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 37669

Prime factors of 37669 are 139, 271. Prime factorization of 37669 in exponential form is:

37669 = 139¹ × 271¹

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 37669

List of positive integer factors of 37669 that divides 37665 without a remainder.

1, 139, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37665 and 37669. The biggest common factor number is the GCF number.
So the greatest common factor 37665 and 37669 is 1.

Also check out the Least Common Multiple of 37665 and 37669