What is the Greatest Common Factor of 68304 and 68314?

Greatest common factor (GCF) of 68304 and 68314 is 2.

GCF(68304,68314) = 2

We will now calculate the prime factors of 68304 and 68314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68304 and 68314.

How to find the GCF of 68304 and 68314?

We will first find the prime factorization of 68304 and 68314. After we will calculate the factors of 68304 and 68314 and find the biggest common factor number .

Step-1: Prime Factorization of 68304

Prime factors of 68304 are 2, 3, 1423. Prime factorization of 68304 in exponential form is:

68304 = 2⁴ × 3¹ × 1423¹

Step-2: Prime Factorization of 68314

Prime factors of 68314 are 2, 34157. Prime factorization of 68314 in exponential form is:

68314 = 2¹ × 34157¹

Step-3: Factors of 68304

List of positive integer factors of 68304 that divides 68304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 22768, 34152

Step-4: Factors of 68314

List of positive integer factors of 68314 that divides 68304 without a remainder.

1, 2, 34157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68304 and 68314. The biggest common factor number is the GCF number.
So the greatest common factor 68304 and 68314 is 2.

Also check out the Least Common Multiple of 68304 and 68314