What is the Greatest Common Factor of 94308 and 94314?

Greatest common factor (GCF) of 94308 and 94314 is 6.

GCF(94308,94314) = 6

We will now calculate the prime factors of 94308 and 94314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94308 and 94314.

How to find the GCF of 94308 and 94314?

We will first find the prime factorization of 94308 and 94314. After we will calculate the factors of 94308 and 94314 and find the biggest common factor number .

Step-1: Prime Factorization of 94308

Prime factors of 94308 are 2, 3, 29, 271. Prime factorization of 94308 in exponential form is:

94308 = 2² × 3¹ × 29¹ × 271¹

Step-2: Prime Factorization of 94314

Prime factors of 94314 are 2, 3, 11, 1429. Prime factorization of 94314 in exponential form is:

94314 = 2¹ × 3¹ × 11¹ × 1429¹

Step-3: Factors of 94308

List of positive integer factors of 94308 that divides 94308 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 271, 348, 542, 813, 1084, 1626, 3252, 7859, 15718, 23577, 31436, 47154

Step-4: Factors of 94314

List of positive integer factors of 94314 that divides 94308 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1429, 2858, 4287, 8574, 15719, 31438, 47157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94308 and 94314. The biggest common factor number is the GCF number.
So the greatest common factor 94308 and 94314 is 6.

Also check out the Least Common Multiple of 94308 and 94314