What is the Greatest Common Factor of 81230 and 81250?

Greatest common factor (GCF) of 81230 and 81250 is 10.

GCF(81230,81250) = 10

We will now calculate the prime factors of 81230 and 81250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81230 and 81250.

How to find the GCF of 81230 and 81250?

We will first find the prime factorization of 81230 and 81250. After we will calculate the factors of 81230 and 81250 and find the biggest common factor number .

Step-1: Prime Factorization of 81230

Prime factors of 81230 are 2, 5, 8123. Prime factorization of 81230 in exponential form is:

81230 = 2¹ × 5¹ × 8123¹

Step-2: Prime Factorization of 81250

Prime factors of 81250 are 2, 5, 13. Prime factorization of 81250 in exponential form is:

81250 = 2¹ × 5⁵ × 13¹

Step-3: Factors of 81230

List of positive integer factors of 81230 that divides 81230 without a remainder.

1, 2, 5, 10, 8123, 16246, 40615

Step-4: Factors of 81250

List of positive integer factors of 81250 that divides 81230 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 625, 650, 1250, 1625, 3125, 3250, 6250, 8125, 16250, 40625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81230 and 81250. The biggest common factor number is the GCF number.
So the greatest common factor 81230 and 81250 is 10.

Also check out the Least Common Multiple of 81230 and 81250