What is the Greatest Common Factor of 35909 and 35916?

Greatest common factor (GCF) of 35909 and 35916 is 1.

GCF(35909,35916) = 1

We will now calculate the prime factors of 35909 and 35916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35909 and 35916.

How to find the GCF of 35909 and 35916?

We will first find the prime factorization of 35909 and 35916. After we will calculate the factors of 35909 and 35916 and find the biggest common factor number .

Step-1: Prime Factorization of 35909

Prime factors of 35909 are 149, 241. Prime factorization of 35909 in exponential form is:

35909 = 149¹ × 241¹

Step-2: Prime Factorization of 35916

Prime factors of 35916 are 2, 3, 41, 73. Prime factorization of 35916 in exponential form is:

35916 = 2² × 3¹ × 41¹ × 73¹

Step-3: Factors of 35909

List of positive integer factors of 35909 that divides 35909 without a remainder.

1, 149, 241

Step-4: Factors of 35916

List of positive integer factors of 35916 that divides 35909 without a remainder.

1, 2, 3, 4, 6, 12, 41, 73, 82, 123, 146, 164, 219, 246, 292, 438, 492, 876, 2993, 5986, 8979, 11972, 17958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35909 and 35916. The biggest common factor number is the GCF number.
So the greatest common factor 35909 and 35916 is 1.

Also check out the Least Common Multiple of 35909 and 35916