What is the Greatest Common Factor of 51250 and 51270?

Greatest common factor (GCF) of 51250 and 51270 is 10.

GCF(51250,51270) = 10

We will now calculate the prime factors of 51250 and 51270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51250 and 51270.

How to find the GCF of 51250 and 51270?

We will first find the prime factorization of 51250 and 51270. After we will calculate the factors of 51250 and 51270 and find the biggest common factor number .

Step-1: Prime Factorization of 51250

Prime factors of 51250 are 2, 5, 41. Prime factorization of 51250 in exponential form is:

51250 = 2¹ × 5⁴ × 41¹

Step-2: Prime Factorization of 51270

Prime factors of 51270 are 2, 3, 5, 1709. Prime factorization of 51270 in exponential form is:

51270 = 2¹ × 3¹ × 5¹ × 1709¹

Step-3: Factors of 51250

List of positive integer factors of 51250 that divides 51250 without a remainder.

1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 625, 1025, 1250, 2050, 5125, 10250, 25625

Step-4: Factors of 51270

List of positive integer factors of 51270 that divides 51250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1709, 3418, 5127, 8545, 10254, 17090, 25635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51250 and 51270. The biggest common factor number is the GCF number.
So the greatest common factor 51250 and 51270 is 10.

Also check out the Least Common Multiple of 51250 and 51270