What is the Greatest Common Factor of 7852 and 7872?

Greatest common factor (GCF) of 7852 and 7872 is 4.

GCF(7852,7872) = 4

We will now calculate the prime factors of 7852 and 7872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7852 and 7872.

How to find the GCF of 7852 and 7872?

We will first find the prime factorization of 7852 and 7872. After we will calculate the factors of 7852 and 7872 and find the biggest common factor number .

Step-1: Prime Factorization of 7852

Prime factors of 7852 are 2, 13, 151. Prime factorization of 7852 in exponential form is:

7852 = 2² × 13¹ × 151¹

Step-2: Prime Factorization of 7872

Prime factors of 7872 are 2, 3, 41. Prime factorization of 7872 in exponential form is:

7872 = 2⁶ × 3¹ × 41¹

Step-3: Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926

Step-4: Factors of 7872

List of positive integer factors of 7872 that divides 7852 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7852 and 7872. The biggest common factor number is the GCF number.
So the greatest common factor 7852 and 7872 is 4.

Also check out the Least Common Multiple of 7852 and 7872