What is the Greatest Common Factor of 90116 and 90134?

Greatest common factor (GCF) of 90116 and 90134 is 2.

GCF(90116,90134) = 2

We will now calculate the prime factors of 90116 and 90134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90116 and 90134.

How to find the GCF of 90116 and 90134?

We will first find the prime factorization of 90116 and 90134. After we will calculate the factors of 90116 and 90134 and find the biggest common factor number .

Step-1: Prime Factorization of 90116

Prime factors of 90116 are 2, 13, 1733. Prime factorization of 90116 in exponential form is:

90116 = 2² × 13¹ × 1733¹

Step-2: Prime Factorization of 90134

Prime factors of 90134 are 2, 11, 17, 241. Prime factorization of 90134 in exponential form is:

90134 = 2¹ × 11¹ × 17¹ × 241¹

Step-3: Factors of 90116

List of positive integer factors of 90116 that divides 90116 without a remainder.

1, 2, 4, 13, 26, 52, 1733, 3466, 6932, 22529, 45058

Step-4: Factors of 90134

List of positive integer factors of 90134 that divides 90116 without a remainder.

1, 2, 11, 17, 22, 34, 187, 241, 374, 482, 2651, 4097, 5302, 8194, 45067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90116 and 90134. The biggest common factor number is the GCF number.
So the greatest common factor 90116 and 90134 is 2.

Also check out the Least Common Multiple of 90116 and 90134