What is the Greatest Common Factor of 35900 and 35919?

Greatest common factor (GCF) of 35900 and 35919 is 1.

GCF(35900,35919) = 1

We will now calculate the prime factors of 35900 and 35919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35900 and 35919.

How to find the GCF of 35900 and 35919?

We will first find the prime factorization of 35900 and 35919. After we will calculate the factors of 35900 and 35919 and find the biggest common factor number .

Step-1: Prime Factorization of 35900

Prime factors of 35900 are 2, 5, 359. Prime factorization of 35900 in exponential form is:

35900 = 2² × 5² × 359¹

Step-2: Prime Factorization of 35919

Prime factors of 35919 are 3, 13, 307. Prime factorization of 35919 in exponential form is:

35919 = 3² × 13¹ × 307¹

Step-3: Factors of 35900

List of positive integer factors of 35900 that divides 35900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 359, 718, 1436, 1795, 3590, 7180, 8975, 17950

Step-4: Factors of 35919

List of positive integer factors of 35919 that divides 35900 without a remainder.

1, 3, 9, 13, 39, 117, 307, 921, 2763, 3991, 11973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35900 and 35919. The biggest common factor number is the GCF number.
So the greatest common factor 35900 and 35919 is 1.

Also check out the Least Common Multiple of 35900 and 35919