What is the Greatest Common Factor of 90910 and 90916?

Greatest common factor (GCF) of 90910 and 90916 is 2.

GCF(90910,90916) = 2

We will now calculate the prime factors of 90910 and 90916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90910 and 90916.

How to find the GCF of 90910 and 90916?

We will first find the prime factorization of 90910 and 90916. After we will calculate the factors of 90910 and 90916 and find the biggest common factor number .

Step-1: Prime Factorization of 90910

Prime factors of 90910 are 2, 5, 9091. Prime factorization of 90910 in exponential form is:

90910 = 2¹ × 5¹ × 9091¹

Step-2: Prime Factorization of 90916

Prime factors of 90916 are 2, 7, 17, 191. Prime factorization of 90916 in exponential form is:

90916 = 2² × 7¹ × 17¹ × 191¹

Step-3: Factors of 90910

List of positive integer factors of 90910 that divides 90910 without a remainder.

1, 2, 5, 10, 9091, 18182, 45455

Step-4: Factors of 90916

List of positive integer factors of 90916 that divides 90910 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 191, 238, 382, 476, 764, 1337, 2674, 3247, 5348, 6494, 12988, 22729, 45458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90910 and 90916. The biggest common factor number is the GCF number.
So the greatest common factor 90910 and 90916 is 2.

Also check out the Least Common Multiple of 90910 and 90916