What is the Greatest Common Factor of 82850 and 82870?

Greatest common factor (GCF) of 82850 and 82870 is 10.

GCF(82850,82870) = 10

We will now calculate the prime factors of 82850 and 82870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82850 and 82870.

How to find the GCF of 82850 and 82870?

We will first find the prime factorization of 82850 and 82870. After we will calculate the factors of 82850 and 82870 and find the biggest common factor number .

Step-1: Prime Factorization of 82850

Prime factors of 82850 are 2, 5, 1657. Prime factorization of 82850 in exponential form is:

82850 = 2¹ × 5² × 1657¹

Step-2: Prime Factorization of 82870

Prime factors of 82870 are 2, 5, 8287. Prime factorization of 82870 in exponential form is:

82870 = 2¹ × 5¹ × 8287¹

Step-3: Factors of 82850

List of positive integer factors of 82850 that divides 82850 without a remainder.

1, 2, 5, 10, 25, 50, 1657, 3314, 8285, 16570, 41425

Step-4: Factors of 82870

List of positive integer factors of 82870 that divides 82850 without a remainder.

1, 2, 5, 10, 8287, 16574, 41435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82850 and 82870. The biggest common factor number is the GCF number.
So the greatest common factor 82850 and 82870 is 10.

Also check out the Least Common Multiple of 82850 and 82870