What is the Greatest Common Factor of 81250 and 81258?

Greatest common factor (GCF) of 81250 and 81258 is 2.

GCF(81250,81258) = 2

We will now calculate the prime factors of 81250 and 81258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81250 and 81258.

How to find the GCF of 81250 and 81258?

We will first find the prime factorization of 81250 and 81258. After we will calculate the factors of 81250 and 81258 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 81258

Prime factors of 81258 are 2, 3, 29, 467. Prime factorization of 81258 in exponential form is:

81258 = 2¹ × 3¹ × 29¹ × 467¹

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 81258

List of positive integer factors of 81258 that divides 81250 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 467, 934, 1401, 2802, 13543, 27086, 40629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81250 and 81258. The biggest common factor number is the GCF number.
So the greatest common factor 81250 and 81258 is 2.

Also check out the Least Common Multiple of 81250 and 81258