What is the Greatest Common Factor of 7852 and 7862?

Greatest common factor (GCF) of 7852 and 7862 is 2.

GCF(7852,7862) = 2

We will now calculate the prime factors of 7852 and 7862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7852 and 7862.

How to find the GCF of 7852 and 7862?

We will first find the prime factorization of 7852 and 7862. After we will calculate the factors of 7852 and 7862 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 7862

Prime factors of 7862 are 2, 3931. Prime factorization of 7862 in exponential form is:

7862 = 2¹ × 3931¹

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 7862

List of positive integer factors of 7862 that divides 7852 without a remainder.

1, 2, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7852 and 7862. The biggest common factor number is the GCF number.
So the greatest common factor 7852 and 7862 is 2.

Also check out the Least Common Multiple of 7852 and 7862