What is the Greatest Common Factor of 34314 and 34332?

Greatest common factor (GCF) of 34314 and 34332 is 6.

GCF(34314,34332) = 6

We will now calculate the prime factors of 34314 and 34332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34314 and 34332.

How to find the GCF of 34314 and 34332?

We will first find the prime factorization of 34314 and 34332. After we will calculate the factors of 34314 and 34332 and find the biggest common factor number .

Step-1: Prime Factorization of 34314

Prime factors of 34314 are 2, 3, 7, 19, 43. Prime factorization of 34314 in exponential form is:

34314 = 2¹ × 3¹ × 7¹ × 19¹ × 43¹

Step-2: Prime Factorization of 34332

Prime factors of 34332 are 2, 3, 2861. Prime factorization of 34332 in exponential form is:

34332 = 2² × 3¹ × 2861¹

Step-3: Factors of 34314

List of positive integer factors of 34314 that divides 34314 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 43, 57, 86, 114, 129, 133, 258, 266, 301, 399, 602, 798, 817, 903, 1634, 1806, 2451, 4902, 5719, 11438, 17157

Step-4: Factors of 34332

List of positive integer factors of 34332 that divides 34314 without a remainder.

1, 2, 3, 4, 6, 12, 2861, 5722, 8583, 11444, 17166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34314 and 34332. The biggest common factor number is the GCF number.
So the greatest common factor 34314 and 34332 is 6.

Also check out the Least Common Multiple of 34314 and 34332