What is the Greatest Common Factor of 71838 and 71847?

Greatest common factor (GCF) of 71838 and 71847 is 9.

GCF(71838,71847) = 9

We will now calculate the prime factors of 71838 and 71847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71838 and 71847.

How to find the GCF of 71838 and 71847?

We will first find the prime factorization of 71838 and 71847. After we will calculate the factors of 71838 and 71847 and find the biggest common factor number .

Step-1: Prime Factorization of 71838

Prime factors of 71838 are 2, 3, 13, 307. Prime factorization of 71838 in exponential form is:

71838 = 2¹ × 3² × 13¹ × 307¹

Step-2: Prime Factorization of 71847

Prime factors of 71847 are 3, 887. Prime factorization of 71847 in exponential form is:

71847 = 3⁴ × 887¹

Step-3: Factors of 71838

List of positive integer factors of 71838 that divides 71838 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 307, 614, 921, 1842, 2763, 3991, 5526, 7982, 11973, 23946, 35919

Step-4: Factors of 71847

List of positive integer factors of 71847 that divides 71838 without a remainder.

1, 3, 9, 27, 81, 887, 2661, 7983, 23949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71838 and 71847. The biggest common factor number is the GCF number.
So the greatest common factor 71838 and 71847 is 9.

Also check out the Least Common Multiple of 71838 and 71847