What is the Greatest Common Factor of 67424 and 67443?

Greatest common factor (GCF) of 67424 and 67443 is 1.

GCF(67424,67443) = 1

We will now calculate the prime factors of 67424 and 67443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67424 and 67443.

How to find the GCF of 67424 and 67443?

We will first find the prime factorization of 67424 and 67443. After we will calculate the factors of 67424 and 67443 and find the biggest common factor number .

Step-1: Prime Factorization of 67424

Prime factors of 67424 are 2, 7, 43. Prime factorization of 67424 in exponential form is:

67424 = 2⁵ × 7² × 43¹

Step-2: Prime Factorization of 67443

Prime factors of 67443 are 3, 22481. Prime factorization of 67443 in exponential form is:

67443 = 3¹ × 22481¹

Step-3: Factors of 67424

List of positive integer factors of 67424 that divides 67424 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 49, 56, 86, 98, 112, 172, 196, 224, 301, 344, 392, 602, 688, 784, 1204, 1376, 1568, 2107, 2408, 4214, 4816, 8428, 9632, 16856, 33712

Step-4: Factors of 67443

List of positive integer factors of 67443 that divides 67424 without a remainder.

1, 3, 22481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67424 and 67443. The biggest common factor number is the GCF number.
So the greatest common factor 67424 and 67443 is 1.

Also check out the Least Common Multiple of 67424 and 67443