What is the Greatest Common Factor of 35916 and 35922?

Greatest common factor (GCF) of 35916 and 35922 is 6.

GCF(35916,35922) = 6

We will now calculate the prime factors of 35916 and 35922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35916 and 35922.

How to find the GCF of 35916 and 35922?

We will first find the prime factorization of 35916 and 35922. After we will calculate the factors of 35916 and 35922 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35922

Prime factors of 35922 are 2, 3, 5987. Prime factorization of 35922 in exponential form is:

35922 = 2¹ × 3¹ × 5987¹

Step-3: Factors of 35916

List of positive integer factors of 35916 that divides 35916 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

Step-4: Factors of 35922

List of positive integer factors of 35922 that divides 35916 without a remainder.

1, 2, 3, 6, 5987, 11974, 17961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35916 and 35922. The biggest common factor number is the GCF number.
So the greatest common factor 35916 and 35922 is 6.

Also check out the Least Common Multiple of 35916 and 35922