What is the Greatest Common Factor of 7834 and 7850?

Greatest common factor (GCF) of 7834 and 7850 is 2.

GCF(7834,7850) = 2

We will now calculate the prime factors of 7834 and 7850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7834 and 7850.

How to find the GCF of 7834 and 7850?

We will first find the prime factorization of 7834 and 7850. After we will calculate the factors of 7834 and 7850 and find the biggest common factor number .

Step-1: Prime Factorization of 7834

Prime factors of 7834 are 2, 3917. Prime factorization of 7834 in exponential form is:

7834 = 2¹ × 3917¹

Step-2: Prime Factorization of 7850

Prime factors of 7850 are 2, 5, 157. Prime factorization of 7850 in exponential form is:

7850 = 2¹ × 5² × 157¹

Step-3: Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1, 2, 3917

Step-4: Factors of 7850

List of positive integer factors of 7850 that divides 7834 without a remainder.

1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7834 and 7850. The biggest common factor number is the GCF number.
So the greatest common factor 7834 and 7850 is 2.

Also check out the Least Common Multiple of 7834 and 7850