What is the Greatest Common Factor of 35819 and 35837?

Greatest common factor (GCF) of 35819 and 35837 is 1.

GCF(35819,35837) = 1

We will now calculate the prime factors of 35819 and 35837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35819 and 35837.

How to find the GCF of 35819 and 35837?

We will first find the prime factorization of 35819 and 35837. After we will calculate the factors of 35819 and 35837 and find the biggest common factor number .

Step-1: Prime Factorization of 35819

Prime factors of 35819 are 7, 17, 43. Prime factorization of 35819 in exponential form is:

35819 = 7² × 17¹ × 43¹

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 35819

List of positive integer factors of 35819 that divides 35819 without a remainder.

1, 7, 17, 43, 49, 119, 301, 731, 833, 2107, 5117

Step-4: Factors of 35837

List of positive integer factors of 35837 that divides 35819 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35819 and 35837. The biggest common factor number is the GCF number.
So the greatest common factor 35819 and 35837 is 1.

Also check out the Least Common Multiple of 35819 and 35837