What is the Greatest Common Factor of 37844 and 37849?

Greatest common factor (GCF) of 37844 and 37849 is 1.

GCF(37844,37849) = 1

We will now calculate the prime factors of 37844 and 37849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37844 and 37849.

How to find the GCF of 37844 and 37849?

We will first find the prime factorization of 37844 and 37849. After we will calculate the factors of 37844 and 37849 and find the biggest common factor number .

Step-1: Prime Factorization of 37844

Prime factors of 37844 are 2, 9461. Prime factorization of 37844 in exponential form is:

37844 = 2² × 9461¹

Step-2: Prime Factorization of 37849

Prime factors of 37849 are 7, 5407. Prime factorization of 37849 in exponential form is:

37849 = 7¹ × 5407¹

Step-3: Factors of 37844

List of positive integer factors of 37844 that divides 37844 without a remainder.

1, 2, 4, 9461, 18922

Step-4: Factors of 37849

List of positive integer factors of 37849 that divides 37844 without a remainder.

1, 7, 5407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37844 and 37849. The biggest common factor number is the GCF number.
So the greatest common factor 37844 and 37849 is 1.

Also check out the Least Common Multiple of 37844 and 37849