What is the Greatest Common Factor of 71838 and 71856?

Greatest common factor (GCF) of 71838 and 71856 is 18.

GCF(71838,71856) = 18

We will now calculate the prime factors of 71838 and 71856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71838 and 71856.

How to find the GCF of 71838 and 71856?

We will first find the prime factorization of 71838 and 71856. After we will calculate the factors of 71838 and 71856 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 71856

Prime factors of 71856 are 2, 3, 499. Prime factorization of 71856 in exponential form is:

71856 = 2⁴ × 3² × 499¹

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 71856

List of positive integer factors of 71856 that divides 71838 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 499, 998, 1497, 1996, 2994, 3992, 4491, 5988, 7984, 8982, 11976, 17964, 23952, 35928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71838 and 71856. The biggest common factor number is the GCF number.
So the greatest common factor 71838 and 71856 is 18.

Also check out the Least Common Multiple of 71838 and 71856