What is the Greatest Common Factor of 90190 and 90196?

Greatest common factor (GCF) of 90190 and 90196 is 2.

GCF(90190,90196) = 2

We will now calculate the prime factors of 90190 and 90196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90190 and 90196.

How to find the GCF of 90190 and 90196?

We will first find the prime factorization of 90190 and 90196. After we will calculate the factors of 90190 and 90196 and find the biggest common factor number .

Step-1: Prime Factorization of 90190

Prime factors of 90190 are 2, 5, 29, 311. Prime factorization of 90190 in exponential form is:

90190 = 2¹ × 5¹ × 29¹ × 311¹

Step-2: Prime Factorization of 90196

Prime factors of 90196 are 2, 22549. Prime factorization of 90196 in exponential form is:

90196 = 2² × 22549¹

Step-3: Factors of 90190

List of positive integer factors of 90190 that divides 90190 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 311, 622, 1555, 3110, 9019, 18038, 45095

Step-4: Factors of 90196

List of positive integer factors of 90196 that divides 90190 without a remainder.

1, 2, 4, 22549, 45098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90190 and 90196. The biggest common factor number is the GCF number.
So the greatest common factor 90190 and 90196 is 2.

Also check out the Least Common Multiple of 90190 and 90196