What is the Greatest Common Factor of 68322 and 68337?

Greatest common factor (GCF) of 68322 and 68337 is 3.

GCF(68322,68337) = 3

We will now calculate the prime factors of 68322 and 68337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68322 and 68337.

How to find the GCF of 68322 and 68337?

We will first find the prime factorization of 68322 and 68337. After we will calculate the factors of 68322 and 68337 and find the biggest common factor number .

Step-1: Prime Factorization of 68322

Prime factors of 68322 are 2, 3, 59, 193. Prime factorization of 68322 in exponential form is:

68322 = 2¹ × 3¹ × 59¹ × 193¹

Step-2: Prime Factorization of 68337

Prime factors of 68337 are 3, 2531. Prime factorization of 68337 in exponential form is:

68337 = 3³ × 2531¹

Step-3: Factors of 68322

List of positive integer factors of 68322 that divides 68322 without a remainder.

1, 2, 3, 6, 59, 118, 177, 193, 354, 386, 579, 1158, 11387, 22774, 34161

Step-4: Factors of 68337

List of positive integer factors of 68337 that divides 68322 without a remainder.

1, 3, 9, 27, 2531, 7593, 22779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68322 and 68337. The biggest common factor number is the GCF number.
So the greatest common factor 68322 and 68337 is 3.

Also check out the Least Common Multiple of 68322 and 68337