What is the Greatest Common Factor of 7830 and 7849?

Greatest common factor (GCF) of 7830 and 7849 is 1.

GCF(7830,7849) = 1

We will now calculate the prime factors of 7830 and 7849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7830 and 7849.

How to find the GCF of 7830 and 7849?

We will first find the prime factorization of 7830 and 7849. After we will calculate the factors of 7830 and 7849 and find the biggest common factor number .

Step-1: Prime Factorization of 7830

Prime factors of 7830 are 2, 3, 5, 29. Prime factorization of 7830 in exponential form is:

7830 = 2¹ × 3³ × 5¹ × 29¹

Step-2: Prime Factorization of 7849

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

7849 = 47¹ × 167¹

Step-3: Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915

Step-4: Factors of 7849

List of positive integer factors of 7849 that divides 7830 without a remainder.

1, 47, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7830 and 7849. The biggest common factor number is the GCF number.
So the greatest common factor 7830 and 7849 is 1.

Also check out the Least Common Multiple of 7830 and 7849