What is the Greatest Common Factor of 67279 and 67298?

Greatest common factor (GCF) of 67279 and 67298 is 19.

GCF(67279,67298) = 19

We will now calculate the prime factors of 67279 and 67298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67279 and 67298.

How to find the GCF of 67279 and 67298?

We will first find the prime factorization of 67279 and 67298. After we will calculate the factors of 67279 and 67298 and find the biggest common factor number .

Step-1: Prime Factorization of 67279

Prime factors of 67279 are 19, 3541. Prime factorization of 67279 in exponential form is:

67279 = 19¹ × 3541¹

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 67279

List of positive integer factors of 67279 that divides 67279 without a remainder.

1, 19, 3541

Step-4: Factors of 67298

List of positive integer factors of 67298 that divides 67279 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 67279 and 67298. The biggest common factor number is the GCF number.
So the greatest common factor 67279 and 67298 is 19.

Also check out the Least Common Multiple of 67279 and 67298