What is the Greatest Common Factor of 7847 and 7857?

Greatest common factor (GCF) of 7847 and 7857 is 1.

GCF(7847,7857) = 1

We will now calculate the prime factors of 7847 and 7857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7847 and 7857.

How to find the GCF of 7847 and 7857?

We will first find the prime factorization of 7847 and 7857. After we will calculate the factors of 7847 and 7857 and find the biggest common factor number .

Step-1: Prime Factorization of 7847

Prime factors of 7847 are 7, 19, 59. Prime factorization of 7847 in exponential form is:

7847 = 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 7857

Prime factors of 7857 are 3, 97. Prime factorization of 7857 in exponential form is:

7857 = 3⁴ × 97¹

Step-3: Factors of 7847

List of positive integer factors of 7847 that divides 7847 without a remainder.

1, 7, 19, 59, 133, 413, 1121

Step-4: Factors of 7857

List of positive integer factors of 7857 that divides 7847 without a remainder.

1, 3, 9, 27, 81, 97, 291, 873, 2619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7847 and 7857. The biggest common factor number is the GCF number.
So the greatest common factor 7847 and 7857 is 1.

Also check out the Least Common Multiple of 7847 and 7857