What is the Greatest Common Factor of 67298 and 67306?

Greatest common factor (GCF) of 67298 and 67306 is 2.

GCF(67298,67306) = 2

We will now calculate the prime factors of 67298 and 67306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67298 and 67306.

How to find the GCF of 67298 and 67306?

We will first find the prime factorization of 67298 and 67306. After we will calculate the factors of 67298 and 67306 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 67306

Prime factors of 67306 are 2, 73, 461. Prime factorization of 67306 in exponential form is:

67306 = 2¹ × 73¹ × 461¹

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 67306

List of positive integer factors of 67306 that divides 67298 without a remainder.

1, 2, 73, 146, 461, 922, 33653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67298 and 67306. The biggest common factor number is the GCF number.
So the greatest common factor 67298 and 67306 is 2.

Also check out the Least Common Multiple of 67298 and 67306