What is the Greatest Common Factor of 7830 and 7844?

Greatest common factor (GCF) of 7830 and 7844 is 2.

GCF(7830,7844) = 2

We will now calculate the prime factors of 7830 and 7844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7830 and 7844.

How to find the GCF of 7830 and 7844?

We will first find the prime factorization of 7830 and 7844. After we will calculate the factors of 7830 and 7844 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 7844

Prime factors of 7844 are 2, 37, 53. Prime factorization of 7844 in exponential form is:

7844 = 2² × 37¹ × 53¹

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 7844

List of positive integer factors of 7844 that divides 7830 without a remainder.

1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7830 and 7844. The biggest common factor number is the GCF number.
So the greatest common factor 7830 and 7844 is 2.

Also check out the Least Common Multiple of 7830 and 7844