What is the Greatest Common Factor of 61314 and 61326?

Greatest common factor (GCF) of 61314 and 61326 is 6.

GCF(61314,61326) = 6

We will now calculate the prime factors of 61314 and 61326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61314 and 61326.

How to find the GCF of 61314 and 61326?

We will first find the prime factorization of 61314 and 61326. After we will calculate the factors of 61314 and 61326 and find the biggest common factor number .

Step-1: Prime Factorization of 61314

Prime factors of 61314 are 2, 3, 11, 929. Prime factorization of 61314 in exponential form is:

61314 = 2¹ × 3¹ × 11¹ × 929¹

Step-2: Prime Factorization of 61326

Prime factors of 61326 are 2, 3, 3407. Prime factorization of 61326 in exponential form is:

61326 = 2¹ × 3² × 3407¹

Step-3: Factors of 61314

List of positive integer factors of 61314 that divides 61314 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 929, 1858, 2787, 5574, 10219, 20438, 30657

Step-4: Factors of 61326

List of positive integer factors of 61326 that divides 61314 without a remainder.

1, 2, 3, 6, 9, 18, 3407, 6814, 10221, 20442, 30663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61314 and 61326. The biggest common factor number is the GCF number.
So the greatest common factor 61314 and 61326 is 6.

Also check out the Least Common Multiple of 61314 and 61326