What is the Greatest Common Factor of 35819 and 35830?

Greatest common factor (GCF) of 35819 and 35830 is 1.

GCF(35819,35830) = 1

We will now calculate the prime factors of 35819 and 35830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35819 and 35830.

How to find the GCF of 35819 and 35830?

We will first find the prime factorization of 35819 and 35830. After we will calculate the factors of 35819 and 35830 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 35830

Prime factors of 35830 are 2, 5, 3583. Prime factorization of 35830 in exponential form is:

35830 = 2¹ × 5¹ × 3583¹

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 35830

List of positive integer factors of 35830 that divides 35819 without a remainder.

1, 2, 5, 10, 3583, 7166, 17915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35819 and 35830. The biggest common factor number is the GCF number.
So the greatest common factor 35819 and 35830 is 1.

Also check out the Least Common Multiple of 35819 and 35830