What is the Greatest Common Factor of 71864 and 71872?

Greatest common factor (GCF) of 71864 and 71872 is 8.

GCF(71864,71872) = 8

We will now calculate the prime factors of 71864 and 71872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71864 and 71872.

How to find the GCF of 71864 and 71872?

We will first find the prime factorization of 71864 and 71872. After we will calculate the factors of 71864 and 71872 and find the biggest common factor number .

Step-1: Prime Factorization of 71864

Prime factors of 71864 are 2, 13, 691. Prime factorization of 71864 in exponential form is:

71864 = 2³ × 13¹ × 691¹

Step-2: Prime Factorization of 71872

Prime factors of 71872 are 2, 1123. Prime factorization of 71872 in exponential form is:

71872 = 2⁶ × 1123¹

Step-3: Factors of 71864

List of positive integer factors of 71864 that divides 71864 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 691, 1382, 2764, 5528, 8983, 17966, 35932

Step-4: Factors of 71872

List of positive integer factors of 71872 that divides 71864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1123, 2246, 4492, 8984, 17968, 35936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71864 and 71872. The biggest common factor number is the GCF number.
So the greatest common factor 71864 and 71872 is 8.

Also check out the Least Common Multiple of 71864 and 71872