What is the Greatest Common Factor of 67298 and 67309?

Greatest common factor (GCF) of 67298 and 67309 is 11.

GCF(67298,67309) = 11

We will now calculate the prime factors of 67298 and 67309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67298 and 67309.

How to find the GCF of 67298 and 67309?

We will first find the prime factorization of 67298 and 67309. After we will calculate the factors of 67298 and 67309 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67309

Prime factors of 67309 are 11, 29, 211. Prime factorization of 67309 in exponential form is:

67309 = 11¹ × 29¹ × 211¹

Step-3: Factors of 67298

List of positive integer factors of 67298 that divides 67298 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

Step-4: Factors of 67309

List of positive integer factors of 67309 that divides 67298 without a remainder.

1, 11, 29, 211, 319, 2321, 6119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67298 and 67309. The biggest common factor number is the GCF number.
So the greatest common factor 67298 and 67309 is 11.

Also check out the Least Common Multiple of 67298 and 67309