What is the Greatest Common Factor of 71307 and 71326?

Greatest common factor (GCF) of 71307 and 71326 is 19.

GCF(71307,71326) = 19

We will now calculate the prime factors of 71307 and 71326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71307 and 71326.

How to find the GCF of 71307 and 71326?

We will first find the prime factorization of 71307 and 71326. After we will calculate the factors of 71307 and 71326 and find the biggest common factor number .

Step-1: Prime Factorization of 71307

Prime factors of 71307 are 3, 19, 139. Prime factorization of 71307 in exponential form is:

71307 = 3³ × 19¹ × 139¹

Step-2: Prime Factorization of 71326

Prime factors of 71326 are 2, 19, 1877. Prime factorization of 71326 in exponential form is:

71326 = 2¹ × 19¹ × 1877¹

Step-3: Factors of 71307

List of positive integer factors of 71307 that divides 71307 without a remainder.

1, 3, 9, 19, 27, 57, 139, 171, 417, 513, 1251, 2641, 3753, 7923, 23769

Step-4: Factors of 71326

List of positive integer factors of 71326 that divides 71307 without a remainder.

1, 2, 19, 38, 1877, 3754, 35663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71307 and 71326. The biggest common factor number is the GCF number.
So the greatest common factor 71307 and 71326 is 19.

Also check out the Least Common Multiple of 71307 and 71326