What is the Greatest Common Factor of 67280 and 67295?

Greatest common factor (GCF) of 67280 and 67295 is 5.

GCF(67280,67295) = 5

We will now calculate the prime factors of 67280 and 67295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67280 and 67295.

How to find the GCF of 67280 and 67295?

We will first find the prime factorization of 67280 and 67295. After we will calculate the factors of 67280 and 67295 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 67295

Prime factors of 67295 are 5, 43, 313. Prime factorization of 67295 in exponential form is:

67295 = 5¹ × 43¹ × 313¹

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 67295

List of positive integer factors of 67295 that divides 67280 without a remainder.

1, 5, 43, 215, 313, 1565, 13459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67280 and 67295. The biggest common factor number is the GCF number.
So the greatest common factor 67280 and 67295 is 5.

Also check out the Least Common Multiple of 67280 and 67295