What is the Greatest Common Factor of 37641 and 37649?

Greatest common factor (GCF) of 37641 and 37649 is 1.

GCF(37641,37649) = 1

We will now calculate the prime factors of 37641 and 37649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37641 and 37649.

How to find the GCF of 37641 and 37649?

We will first find the prime factorization of 37641 and 37649. After we will calculate the factors of 37641 and 37649 and find the biggest common factor number .

Step-1: Prime Factorization of 37641

Prime factors of 37641 are 3, 12547. Prime factorization of 37641 in exponential form is:

37641 = 3¹ × 12547¹

Step-2: Prime Factorization of 37649

Prime factors of 37649 are 37649. Prime factorization of 37649 in exponential form is:

37649 = 37649¹

Step-3: Factors of 37641

List of positive integer factors of 37641 that divides 37641 without a remainder.

1, 3, 12547

Step-4: Factors of 37649

List of positive integer factors of 37649 that divides 37641 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37641 and 37649. The biggest common factor number is the GCF number.
So the greatest common factor 37641 and 37649 is 1.

Also check out the Least Common Multiple of 37641 and 37649