What is the Greatest Common Factor of 71848 and 71852?

Greatest common factor (GCF) of 71848 and 71852 is 4.

GCF(71848,71852) = 4

We will now calculate the prime factors of 71848 and 71852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71848 and 71852.

How to find the GCF of 71848 and 71852?

We will first find the prime factorization of 71848 and 71852. After we will calculate the factors of 71848 and 71852 and find the biggest common factor number .

Step-1: Prime Factorization of 71848

Prime factors of 71848 are 2, 7, 1283. Prime factorization of 71848 in exponential form is:

71848 = 2³ × 7¹ × 1283¹

Step-2: 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-3: Factors of 71848

List of positive integer factors of 71848 that divides 71848 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1283, 2566, 5132, 8981, 10264, 17962, 35924

Step-4: Factors of 71852

List of positive integer factors of 71852 that divides 71848 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71848 and 71852. The biggest common factor number is the GCF number.
So the greatest common factor 71848 and 71852 is 4.

Also check out the Least Common Multiple of 71848 and 71852