What is the Greatest Common Factor of 90426 and 90433?

Greatest common factor (GCF) of 90426 and 90433 is 7.

GCF(90426,90433) = 7

We will now calculate the prime factors of 90426 and 90433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90426 and 90433.

How to find the GCF of 90426 and 90433?

We will first find the prime factorization of 90426 and 90433. After we will calculate the factors of 90426 and 90433 and find the biggest common factor number .

Step-1: Prime Factorization of 90426

Prime factors of 90426 are 2, 3, 7, 2153. Prime factorization of 90426 in exponential form is:

90426 = 2¹ × 3¹ × 7¹ × 2153¹

Step-2: Prime Factorization of 90433

Prime factors of 90433 are 7, 12919. Prime factorization of 90433 in exponential form is:

90433 = 7¹ × 12919¹

Step-3: Factors of 90426

List of positive integer factors of 90426 that divides 90426 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2153, 4306, 6459, 12918, 15071, 30142, 45213

Step-4: Factors of 90433

List of positive integer factors of 90433 that divides 90426 without a remainder.

1, 7, 12919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90426 and 90433. The biggest common factor number is the GCF number.
So the greatest common factor 90426 and 90433 is 7.

Also check out the Least Common Multiple of 90426 and 90433