What is the Greatest Common Factor of 82900 and 82910?

Greatest common factor (GCF) of 82900 and 82910 is 10.

GCF(82900,82910) = 10

We will now calculate the prime factors of 82900 and 82910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82900 and 82910.

How to find the GCF of 82900 and 82910?

We will first find the prime factorization of 82900 and 82910. After we will calculate the factors of 82900 and 82910 and find the biggest common factor number .

Step-1: Prime Factorization of 82900

Prime factors of 82900 are 2, 5, 829. Prime factorization of 82900 in exponential form is:

82900 = 2² × 5² × 829¹

Step-2: Prime Factorization of 82910

Prime factors of 82910 are 2, 5, 8291. Prime factorization of 82910 in exponential form is:

82910 = 2¹ × 5¹ × 8291¹

Step-3: Factors of 82900

List of positive integer factors of 82900 that divides 82900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 829, 1658, 3316, 4145, 8290, 16580, 20725, 41450

Step-4: Factors of 82910

List of positive integer factors of 82910 that divides 82900 without a remainder.

1, 2, 5, 10, 8291, 16582, 41455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82900 and 82910. The biggest common factor number is the GCF number.
So the greatest common factor 82900 and 82910 is 10.

Also check out the Least Common Multiple of 82900 and 82910