What is the Greatest Common Factor of 35829 and 35837?

Greatest common factor (GCF) of 35829 and 35837 is 1.

GCF(35829,35837) = 1

We will now calculate the prime factors of 35829 and 35837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35829 and 35837.

How to find the GCF of 35829 and 35837?

We will first find the prime factorization of 35829 and 35837. After we will calculate the factors of 35829 and 35837 and find the biggest common factor number .

Step-1: Prime Factorization of 35829

Prime factors of 35829 are 3, 1327. Prime factorization of 35829 in exponential form is:

35829 = 3³ × 1327¹

Step-2: Prime Factorization of 35837

Prime factors of 35837 are 35837. Prime factorization of 35837 in exponential form is:

35837 = 35837¹

Step-3: Factors of 35829

List of positive integer factors of 35829 that divides 35829 without a remainder.

1, 3, 9, 27, 1327, 3981, 11943

Step-4: Factors of 35837

List of positive integer factors of 35837 that divides 35829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35829 and 35837. The biggest common factor number is the GCF number.
So the greatest common factor 35829 and 35837 is 1.

Also check out the Least Common Multiple of 35829 and 35837