What is the Greatest Common Factor of 67424 and 67441?

Greatest common factor (GCF) of 67424 and 67441 is 1.

GCF(67424,67441) = 1

We will now calculate the prime factors of 67424 and 67441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67424 and 67441.

How to find the GCF of 67424 and 67441?

We will first find the prime factorization of 67424 and 67441. After we will calculate the factors of 67424 and 67441 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 67441

Prime factors of 67441 are 11, 6131. Prime factorization of 67441 in exponential form is:

67441 = 11¹ × 6131¹

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 67441

List of positive integer factors of 67441 that divides 67424 without a remainder.

1, 11, 6131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67424 and 67441. The biggest common factor number is the GCF number.
So the greatest common factor 67424 and 67441 is 1.

Also check out the Least Common Multiple of 67424 and 67441