What is the Greatest Common Factor of 7844 and 7864?

Greatest common factor (GCF) of 7844 and 7864 is 4.

GCF(7844,7864) = 4

We will now calculate the prime factors of 7844 and 7864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7844 and 7864.

How to find the GCF of 7844 and 7864?

We will first find the prime factorization of 7844 and 7864. After we will calculate the factors of 7844 and 7864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7864

Prime factors of 7864 are 2, 983. Prime factorization of 7864 in exponential form is:

7864 = 2³ × 983¹

Step-3: Factors of 7844

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

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

Step-4: Factors of 7864

List of positive integer factors of 7864 that divides 7844 without a remainder.

1, 2, 4, 8, 983, 1966, 3932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7844 and 7864. The biggest common factor number is the GCF number.
So the greatest common factor 7844 and 7864 is 4.

Also check out the Least Common Multiple of 7844 and 7864