What is the Greatest Common Factor of 67472 and 67482?

Greatest common factor (GCF) of 67472 and 67482 is 2.

GCF(67472,67482) = 2

We will now calculate the prime factors of 67472 and 67482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67472 and 67482.

How to find the GCF of 67472 and 67482?

We will first find the prime factorization of 67472 and 67482. After we will calculate the factors of 67472 and 67482 and find the biggest common factor number .

Step-1: Prime Factorization of 67472

Prime factors of 67472 are 2, 4217. Prime factorization of 67472 in exponential form is:

67472 = 2⁴ × 4217¹

Step-2: Prime Factorization of 67482

Prime factors of 67482 are 2, 3, 23, 163. Prime factorization of 67482 in exponential form is:

67482 = 2¹ × 3² × 23¹ × 163¹

Step-3: Factors of 67472

List of positive integer factors of 67472 that divides 67472 without a remainder.

1, 2, 4, 8, 16, 4217, 8434, 16868, 33736

Step-4: Factors of 67482

List of positive integer factors of 67482 that divides 67472 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 163, 207, 326, 414, 489, 978, 1467, 2934, 3749, 7498, 11247, 22494, 33741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67472 and 67482. The biggest common factor number is the GCF number.
So the greatest common factor 67472 and 67482 is 2.

Also check out the Least Common Multiple of 67472 and 67482