What is the Greatest Common Factor of 90266 and 90277?

Greatest common factor (GCF) of 90266 and 90277 is 11.

GCF(90266,90277) = 11

We will now calculate the prime factors of 90266 and 90277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90266 and 90277.

How to find the GCF of 90266 and 90277?

We will first find the prime factorization of 90266 and 90277. After we will calculate the factors of 90266 and 90277 and find the biggest common factor number .

Step-1: Prime Factorization of 90266

Prime factors of 90266 are 2, 11, 373. Prime factorization of 90266 in exponential form is:

90266 = 2¹ × 11² × 373¹

Step-2: Prime Factorization of 90277

Prime factors of 90277 are 11, 29, 283. Prime factorization of 90277 in exponential form is:

90277 = 11¹ × 29¹ × 283¹

Step-3: Factors of 90266

List of positive integer factors of 90266 that divides 90266 without a remainder.

1, 2, 11, 22, 121, 242, 373, 746, 4103, 8206, 45133

Step-4: Factors of 90277

List of positive integer factors of 90277 that divides 90266 without a remainder.

1, 11, 29, 283, 319, 3113, 8207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90266 and 90277. The biggest common factor number is the GCF number.
So the greatest common factor 90266 and 90277 is 11.

Also check out the Least Common Multiple of 90266 and 90277