What is the Greatest Common Factor of 67280 and 67288?

Greatest common factor (GCF) of 67280 and 67288 is 8.

GCF(67280,67288) = 8

We will now calculate the prime factors of 67280 and 67288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67280 and 67288.

How to find the GCF of 67280 and 67288?

We will first find the prime factorization of 67280 and 67288. After we will calculate the factors of 67280 and 67288 and find the biggest common factor number .

Step-1: Prime Factorization of 67280

Prime factors of 67280 are 2, 5, 29. Prime factorization of 67280 in exponential form is:

67280 = 2⁴ × 5¹ × 29²

Step-2: Prime Factorization of 67288

Prime factors of 67288 are 2, 13, 647. Prime factorization of 67288 in exponential form is:

67288 = 2³ × 13¹ × 647¹

Step-3: Factors of 67280

List of positive integer factors of 67280 that divides 67280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 841, 1160, 1682, 2320, 3364, 4205, 6728, 8410, 13456, 16820, 33640

Step-4: Factors of 67288

List of positive integer factors of 67288 that divides 67280 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 647, 1294, 2588, 5176, 8411, 16822, 33644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67280 and 67288. The biggest common factor number is the GCF number.
So the greatest common factor 67280 and 67288 is 8.

Also check out the Least Common Multiple of 67280 and 67288