What is the Greatest Common Factor of 81250 and 81265?

Greatest common factor (GCF) of 81250 and 81265 is 5.

GCF(81250,81265) = 5

We will now calculate the prime factors of 81250 and 81265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81250 and 81265.

How to find the GCF of 81250 and 81265?

We will first find the prime factorization of 81250 and 81265. After we will calculate the factors of 81250 and 81265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81265

Prime factors of 81265 are 5, 16253. Prime factorization of 81265 in exponential form is:

81265 = 5¹ × 16253¹

Step-3: Factors of 81250

List of positive integer factors of 81250 that divides 81250 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

Step-4: Factors of 81265

List of positive integer factors of 81265 that divides 81250 without a remainder.

1, 5, 16253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81250 and 81265. The biggest common factor number is the GCF number.
So the greatest common factor 81250 and 81265 is 5.

Also check out the Least Common Multiple of 81250 and 81265