What is the Greatest Common Factor of 71852 and 71872?

Greatest common factor (GCF) of 71852 and 71872 is 4.

GCF(71852,71872) = 4

We will now calculate the prime factors of 71852 and 71872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71852 and 71872.

How to find the GCF of 71852 and 71872?

We will first find the prime factorization of 71852 and 71872. After we will calculate the factors of 71852 and 71872 and find the biggest common factor number .

Step-1: Prime Factorization of 71852

Prime factors of 71852 are 2, 11, 23, 71. Prime factorization of 71852 in exponential form is:

71852 = 2² × 11¹ × 23¹ × 71¹

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 71852

List of positive integer factors of 71852 that divides 71852 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 71, 92, 142, 253, 284, 506, 781, 1012, 1562, 1633, 3124, 3266, 6532, 17963, 35926

Step-4: Factors of 71872

List of positive integer factors of 71872 that divides 71852 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 71852 and 71872. The biggest common factor number is the GCF number.
So the greatest common factor 71852 and 71872 is 4.

Also check out the Least Common Multiple of 71852 and 71872