What is the Greatest Common Factor of 71824 and 71840?

Greatest common factor (GCF) of 71824 and 71840 is 16.

GCF(71824,71840) = 16

We will now calculate the prime factors of 71824 and 71840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71824 and 71840.

How to find the GCF of 71824 and 71840?

We will first find the prime factorization of 71824 and 71840. After we will calculate the factors of 71824 and 71840 and find the biggest common factor number .

Step-1: Prime Factorization of 71824

Prime factors of 71824 are 2, 67. Prime factorization of 71824 in exponential form is:

71824 = 2⁴ × 67²

Step-2: 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-3: Factors of 71824

List of positive integer factors of 71824 that divides 71824 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072, 4489, 8978, 17956, 35912

Step-4: Factors of 71840

List of positive integer factors of 71840 that divides 71824 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71824 and 71840. The biggest common factor number is the GCF number.
So the greatest common factor 71824 and 71840 is 16.

Also check out the Least Common Multiple of 71824 and 71840