What is the Greatest Common Factor of 7830 and 7850?

Greatest common factor (GCF) of 7830 and 7850 is 10.

GCF(7830,7850) = 10

We will now calculate the prime factors of 7830 and 7850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7830 and 7850.

How to find the GCF of 7830 and 7850?

We will first find the prime factorization of 7830 and 7850. After we will calculate the factors of 7830 and 7850 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 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 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 7850

List of positive integer factors of 7850 that divides 7830 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 7830 and 7850. The biggest common factor number is the GCF number.
So the greatest common factor 7830 and 7850 is 10.

Also check out the Least Common Multiple of 7830 and 7850