What is the Greatest Common Factor of 35900 and 35915?

Greatest common factor (GCF) of 35900 and 35915 is 5.

GCF(35900,35915) = 5

We will now calculate the prime factors of 35900 and 35915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35900 and 35915.

How to find the GCF of 35900 and 35915?

We will first find the prime factorization of 35900 and 35915. After we will calculate the factors of 35900 and 35915 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 35915

Prime factors of 35915 are 5, 11, 653. Prime factorization of 35915 in exponential form is:

35915 = 5¹ × 11¹ × 653¹

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 35915

List of positive integer factors of 35915 that divides 35900 without a remainder.

1, 5, 11, 55, 653, 3265, 7183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35900 and 35915. The biggest common factor number is the GCF number.
So the greatest common factor 35900 and 35915 is 5.

Also check out the Least Common Multiple of 35900 and 35915