What is the Greatest Common Factor of 51250 and 51259?

Greatest common factor (GCF) of 51250 and 51259 is 1.

GCF(51250,51259) = 1

We will now calculate the prime factors of 51250 and 51259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51250 and 51259.

How to find the GCF of 51250 and 51259?

We will first find the prime factorization of 51250 and 51259. After we will calculate the factors of 51250 and 51259 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 51259

Prime factors of 51259 are 13, 3943. Prime factorization of 51259 in exponential form is:

51259 = 13¹ × 3943¹

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 51259

List of positive integer factors of 51259 that divides 51250 without a remainder.

1, 13, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51250 and 51259. The biggest common factor number is the GCF number.
So the greatest common factor 51250 and 51259 is 1.

Also check out the Least Common Multiple of 51250 and 51259