What is the Greatest Common Factor of 67424 and 67436?

Greatest common factor (GCF) of 67424 and 67436 is 4.

GCF(67424,67436) = 4

We will now calculate the prime factors of 67424 and 67436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67424 and 67436.

How to find the GCF of 67424 and 67436?

We will first find the prime factorization of 67424 and 67436. After we will calculate the factors of 67424 and 67436 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 67436

Prime factors of 67436 are 2, 23, 733. Prime factorization of 67436 in exponential form is:

67436 = 2² × 23¹ × 733¹

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 67436

List of positive integer factors of 67436 that divides 67424 without a remainder.

1, 2, 4, 23, 46, 92, 733, 1466, 2932, 16859, 33718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67424 and 67436. The biggest common factor number is the GCF number.
So the greatest common factor 67424 and 67436 is 4.

Also check out the Least Common Multiple of 67424 and 67436