What is the Greatest Common Factor of 68493 and 68508?

Greatest common factor (GCF) of 68493 and 68508 is 3.

GCF(68493,68508) = 3

We will now calculate the prime factors of 68493 and 68508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68493 and 68508.

How to find the GCF of 68493 and 68508?

We will first find the prime factorization of 68493 and 68508. After we will calculate the factors of 68493 and 68508 and find the biggest common factor number .

Step-1: Prime Factorization of 68493

Prime factors of 68493 are 3, 17, 79. Prime factorization of 68493 in exponential form is:

68493 = 3¹ × 17² × 79¹

Step-2: Prime Factorization of 68508

Prime factors of 68508 are 2, 3, 11, 173. Prime factorization of 68508 in exponential form is:

68508 = 2² × 3² × 11¹ × 173¹

Step-3: Factors of 68493

List of positive integer factors of 68493 that divides 68493 without a remainder.

1, 3, 17, 51, 79, 237, 289, 867, 1343, 4029, 22831

Step-4: Factors of 68508

List of positive integer factors of 68508 that divides 68493 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 173, 198, 346, 396, 519, 692, 1038, 1557, 1903, 2076, 3114, 3806, 5709, 6228, 7612, 11418, 17127, 22836, 34254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68493 and 68508. The biggest common factor number is the GCF number.
So the greatest common factor 68493 and 68508 is 3.

Also check out the Least Common Multiple of 68493 and 68508