What is the Greatest Common Factor of 71856 and 71866?

Greatest common factor (GCF) of 71856 and 71866 is 2.

GCF(71856,71866) = 2

We will now calculate the prime factors of 71856 and 71866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71856 and 71866.

How to find the GCF of 71856 and 71866?

We will first find the prime factorization of 71856 and 71866. After we will calculate the factors of 71856 and 71866 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71866

Prime factors of 71866 are 2, 35933. Prime factorization of 71866 in exponential form is:

71866 = 2¹ × 35933¹

Step-3: Factors of 71856

List of positive integer factors of 71856 that divides 71856 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

Step-4: Factors of 71866

List of positive integer factors of 71866 that divides 71856 without a remainder.

1, 2, 35933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71856 and 71866. The biggest common factor number is the GCF number.
So the greatest common factor 71856 and 71866 is 2.

Also check out the Least Common Multiple of 71856 and 71866