What is the Greatest Common Factor of 71840 and 71856?

Greatest common factor (GCF) of 71840 and 71856 is 16.

GCF(71840,71856) = 16

We will now calculate the prime factors of 71840 and 71856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71840 and 71856.

How to find the GCF of 71840 and 71856?

We will first find the prime factorization of 71840 and 71856. After we will calculate the factors of 71840 and 71856 and find the biggest common factor number .

Step-1: Prime Factorization of 71840

Prime factors of 71840 are 2, 5, 449. Prime factorization of 71840 in exponential form is:

71840 = 2⁵ × 5¹ × 449¹

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 71840

List of positive integer factors of 71840 that divides 71840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 449, 898, 1796, 2245, 3592, 4490, 7184, 8980, 14368, 17960, 35920

Step-4: Factors of 71856

List of positive integer factors of 71856 that divides 71840 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 71840 and 71856. The biggest common factor number is the GCF number.
So the greatest common factor 71840 and 71856 is 16.

Also check out the Least Common Multiple of 71840 and 71856