What is the Greatest Common Factor of 90431 and 90442?

Greatest common factor (GCF) of 90431 and 90442 is 11.

GCF(90431,90442) = 11

We will now calculate the prime factors of 90431 and 90442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90431 and 90442.

How to find the GCF of 90431 and 90442?

We will first find the prime factorization of 90431 and 90442. After we will calculate the factors of 90431 and 90442 and find the biggest common factor number .

Step-1: Prime Factorization of 90431

Prime factors of 90431 are 11, 8221. Prime factorization of 90431 in exponential form is:

90431 = 11¹ × 8221¹

Step-2: Prime Factorization of 90442

Prime factors of 90442 are 2, 11, 4111. Prime factorization of 90442 in exponential form is:

90442 = 2¹ × 11¹ × 4111¹

Step-3: Factors of 90431

List of positive integer factors of 90431 that divides 90431 without a remainder.

1, 11, 8221

Step-4: Factors of 90442

List of positive integer factors of 90442 that divides 90431 without a remainder.

1, 2, 11, 22, 4111, 8222, 45221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90431 and 90442. The biggest common factor number is the GCF number.
So the greatest common factor 90431 and 90442 is 11.

Also check out the Least Common Multiple of 90431 and 90442