What is the Greatest Common Factor of 90266 and 90276?

Greatest common factor (GCF) of 90266 and 90276 is 2.

GCF(90266,90276) = 2

We will now calculate the prime factors of 90266 and 90276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90266 and 90276.

How to find the GCF of 90266 and 90276?

We will first find the prime factorization of 90266 and 90276. After we will calculate the factors of 90266 and 90276 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 90276

Prime factors of 90276 are 2, 3, 7523. Prime factorization of 90276 in exponential form is:

90276 = 2² × 3¹ × 7523¹

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 90276

List of positive integer factors of 90276 that divides 90266 without a remainder.

1, 2, 3, 4, 6, 12, 7523, 15046, 22569, 30092, 45138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90266 and 90276. The biggest common factor number is the GCF number.
So the greatest common factor 90266 and 90276 is 2.

Also check out the Least Common Multiple of 90266 and 90276