What is the Greatest Common Factor of 90279 and 90286?

Greatest common factor (GCF) of 90279 and 90286 is 7.

GCF(90279,90286) = 7

We will now calculate the prime factors of 90279 and 90286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90279 and 90286.

How to find the GCF of 90279 and 90286?

We will first find the prime factorization of 90279 and 90286. After we will calculate the factors of 90279 and 90286 and find the biggest common factor number .

Step-1: Prime Factorization of 90279

Prime factors of 90279 are 3, 7, 1433. Prime factorization of 90279 in exponential form is:

90279 = 3² × 7¹ × 1433¹

Step-2: Prime Factorization of 90286

Prime factors of 90286 are 2, 7, 6449. Prime factorization of 90286 in exponential form is:

90286 = 2¹ × 7¹ × 6449¹

Step-3: Factors of 90279

List of positive integer factors of 90279 that divides 90279 without a remainder.

1, 3, 7, 9, 21, 63, 1433, 4299, 10031, 12897, 30093

Step-4: Factors of 90286

List of positive integer factors of 90286 that divides 90279 without a remainder.

1, 2, 7, 14, 6449, 12898, 45143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90279 and 90286. The biggest common factor number is the GCF number.
So the greatest common factor 90279 and 90286 is 7.

Also check out the Least Common Multiple of 90279 and 90286