What is the Greatest Common Factor of 67280 and 67298?

Greatest common factor (GCF) of 67280 and 67298 is 2.

GCF(67280,67298) = 2

We will now calculate the prime factors of 67280 and 67298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67280 and 67298.

How to find the GCF of 67280 and 67298?

We will first find the prime factorization of 67280 and 67298. After we will calculate the factors of 67280 and 67298 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 67298

Prime factors of 67298 are 2, 7, 11, 19, 23. Prime factorization of 67298 in exponential form is:

67298 = 2¹ × 7¹ × 11¹ × 19¹ × 23¹

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 67298

List of positive integer factors of 67298 that divides 67280 without a remainder.

1, 2, 7, 11, 14, 19, 22, 23, 38, 46, 77, 133, 154, 161, 209, 253, 266, 322, 418, 437, 506, 874, 1463, 1771, 2926, 3059, 3542, 4807, 6118, 9614, 33649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67280 and 67298. The biggest common factor number is the GCF number.
So the greatest common factor 67280 and 67298 is 2.

Also check out the Least Common Multiple of 67280 and 67298