What is the Greatest Common Factor of 35096 and 35108?

Greatest common factor (GCF) of 35096 and 35108 is 4.

GCF(35096,35108) = 4

We will now calculate the prime factors of 35096 and 35108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35096 and 35108.

How to find the GCF of 35096 and 35108?

We will first find the prime factorization of 35096 and 35108. After we will calculate the factors of 35096 and 35108 and find the biggest common factor number .

Step-1: Prime Factorization of 35096

Prime factors of 35096 are 2, 41, 107. Prime factorization of 35096 in exponential form is:

35096 = 2³ × 41¹ × 107¹

Step-2: Prime Factorization of 35108

Prime factors of 35108 are 2, 67, 131. Prime factorization of 35108 in exponential form is:

35108 = 2² × 67¹ × 131¹

Step-3: Factors of 35096

List of positive integer factors of 35096 that divides 35096 without a remainder.

1, 2, 4, 8, 41, 82, 107, 164, 214, 328, 428, 856, 4387, 8774, 17548

Step-4: Factors of 35108

List of positive integer factors of 35108 that divides 35096 without a remainder.

1, 2, 4, 67, 131, 134, 262, 268, 524, 8777, 17554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35096 and 35108. The biggest common factor number is the GCF number.
So the greatest common factor 35096 and 35108 is 4.

Also check out the Least Common Multiple of 35096 and 35108