What is the Greatest Common Factor of 37829 and 37837?

Greatest common factor (GCF) of 37829 and 37837 is 1.

GCF(37829,37837) = 1

We will now calculate the prime factors of 37829 and 37837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37829 and 37837.

How to find the GCF of 37829 and 37837?

We will first find the prime factorization of 37829 and 37837. After we will calculate the factors of 37829 and 37837 and find the biggest common factor number .

Step-1: Prime Factorization of 37829

Prime factors of 37829 are 11, 19, 181. Prime factorization of 37829 in exponential form is:

37829 = 11¹ × 19¹ × 181¹

Step-2: Prime Factorization of 37837

Prime factors of 37837 are 157, 241. Prime factorization of 37837 in exponential form is:

37837 = 157¹ × 241¹

Step-3: Factors of 37829

List of positive integer factors of 37829 that divides 37829 without a remainder.

1, 11, 19, 181, 209, 1991, 3439

Step-4: Factors of 37837

List of positive integer factors of 37837 that divides 37829 without a remainder.

1, 157, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37829 and 37837. The biggest common factor number is the GCF number.
So the greatest common factor 37829 and 37837 is 1.

Also check out the Least Common Multiple of 37829 and 37837