What is the Greatest Common Factor of 81250 and 81260?

Greatest common factor (GCF) of 81250 and 81260 is 10.

GCF(81250,81260) = 10

We will now calculate the prime factors of 81250 and 81260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81250 and 81260.

How to find the GCF of 81250 and 81260?

We will first find the prime factorization of 81250 and 81260. After we will calculate the factors of 81250 and 81260 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 81260

Prime factors of 81260 are 2, 5, 17, 239. Prime factorization of 81260 in exponential form is:

81260 = 2² × 5¹ × 17¹ × 239¹

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 81260

List of positive integer factors of 81260 that divides 81250 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 239, 340, 478, 956, 1195, 2390, 4063, 4780, 8126, 16252, 20315, 40630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81250 and 81260. The biggest common factor number is the GCF number.
So the greatest common factor 81250 and 81260 is 10.

Also check out the Least Common Multiple of 81250 and 81260