What is the Greatest Common Factor of 71852 and 71856?

Greatest common factor (GCF) of 71852 and 71856 is 4.

GCF(71852,71856) = 4

We will now calculate the prime factors of 71852 and 71856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71852 and 71856.

How to find the GCF of 71852 and 71856?

We will first find the prime factorization of 71852 and 71856. After we will calculate the factors of 71852 and 71856 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 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 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 71856

List of positive integer factors of 71856 that divides 71852 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 71852 and 71856. The biggest common factor number is the GCF number.
So the greatest common factor 71852 and 71856 is 4.

Also check out the Least Common Multiple of 71852 and 71856