What is the Greatest Common Factor of 7865 and 7882?

Greatest common factor (GCF) of 7865 and 7882 is 1.

GCF(7865,7882) = 1

We will now calculate the prime factors of 7865 and 7882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7865 and 7882.

How to find the GCF of 7865 and 7882?

We will first find the prime factorization of 7865 and 7882. After we will calculate the factors of 7865 and 7882 and find the biggest common factor number .

Step-1: Prime Factorization of 7865

Prime factors of 7865 are 5, 11, 13. Prime factorization of 7865 in exponential form is:

7865 = 5¹ × 11² × 13¹

Step-2: Prime Factorization of 7882

Prime factors of 7882 are 2, 7, 563. Prime factorization of 7882 in exponential form is:

7882 = 2¹ × 7¹ × 563¹

Step-3: Factors of 7865

List of positive integer factors of 7865 that divides 7865 without a remainder.

1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573

Step-4: Factors of 7882

List of positive integer factors of 7882 that divides 7865 without a remainder.

1, 2, 7, 14, 563, 1126, 3941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7865 and 7882. The biggest common factor number is the GCF number.
So the greatest common factor 7865 and 7882 is 1.

Also check out the Least Common Multiple of 7865 and 7882