What is the Greatest Common Factor of 35090 and 35096?

Greatest common factor (GCF) of 35090 and 35096 is 2.

GCF(35090,35096) = 2

We will now calculate the prime factors of 35090 and 35096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35090 and 35096.

How to find the GCF of 35090 and 35096?

We will first find the prime factorization of 35090 and 35096. After we will calculate the factors of 35090 and 35096 and find the biggest common factor number .

Step-1: Prime Factorization of 35090

Prime factors of 35090 are 2, 5, 11, 29. Prime factorization of 35090 in exponential form is:

35090 = 2¹ × 5¹ × 11² × 29¹

Step-2: 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-3: Factors of 35090

List of positive integer factors of 35090 that divides 35090 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605, 638, 1210, 1595, 3190, 3509, 7018, 17545

Step-4: Factors of 35096

List of positive integer factors of 35096 that divides 35090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35090 and 35096. The biggest common factor number is the GCF number.
So the greatest common factor 35090 and 35096 is 2.

Also check out the Least Common Multiple of 35090 and 35096