What is the Greatest Common Factor of 90343 and 90354?

Greatest common factor (GCF) of 90343 and 90354 is 11.

GCF(90343,90354) = 11

We will now calculate the prime factors of 90343 and 90354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90343 and 90354.

How to find the GCF of 90343 and 90354?

We will first find the prime factorization of 90343 and 90354. After we will calculate the factors of 90343 and 90354 and find the biggest common factor number .

Step-1: Prime Factorization of 90343

Prime factors of 90343 are 11, 43, 191. Prime factorization of 90343 in exponential form is:

90343 = 11¹ × 43¹ × 191¹

Step-2: Prime Factorization of 90354

Prime factors of 90354 are 2, 3, 11, 37. Prime factorization of 90354 in exponential form is:

90354 = 2¹ × 3¹ × 11¹ × 37²

Step-3: Factors of 90343

List of positive integer factors of 90343 that divides 90343 without a remainder.

1, 11, 43, 191, 473, 2101, 8213

Step-4: Factors of 90354

List of positive integer factors of 90354 that divides 90343 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 1369, 2442, 2738, 4107, 8214, 15059, 30118, 45177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90343 and 90354. The biggest common factor number is the GCF number.
So the greatest common factor 90343 and 90354 is 11.

Also check out the Least Common Multiple of 90343 and 90354