What is the Greatest Common Factor of 7849 and 7861?

Greatest common factor (GCF) of 7849 and 7861 is 1.

GCF(7849,7861) = 1

We will now calculate the prime factors of 7849 and 7861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7849 and 7861.

How to find the GCF of 7849 and 7861?

We will first find the prime factorization of 7849 and 7861. After we will calculate the factors of 7849 and 7861 and find the biggest common factor number .

Step-1: Prime Factorization of 7849

Prime factors of 7849 are 47, 167. Prime factorization of 7849 in exponential form is:

7849 = 47¹ × 167¹

Step-2: Prime Factorization of 7861

Prime factors of 7861 are 7, 1123. Prime factorization of 7861 in exponential form is:

7861 = 7¹ × 1123¹

Step-3: Factors of 7849

List of positive integer factors of 7849 that divides 7849 without a remainder.

1, 47, 167

Step-4: Factors of 7861

List of positive integer factors of 7861 that divides 7849 without a remainder.

1, 7, 1123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7849 and 7861. The biggest common factor number is the GCF number.
So the greatest common factor 7849 and 7861 is 1.

Also check out the Least Common Multiple of 7849 and 7861