What is the Greatest Common Factor of 51250 and 51262?

Greatest common factor (GCF) of 51250 and 51262 is 2.

GCF(51250,51262) = 2

We will now calculate the prime factors of 51250 and 51262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51250 and 51262.

How to find the GCF of 51250 and 51262?

We will first find the prime factorization of 51250 and 51262. After we will calculate the factors of 51250 and 51262 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 51262

Prime factors of 51262 are 2, 19, 71. Prime factorization of 51262 in exponential form is:

51262 = 2¹ × 19² × 71¹

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 51262

List of positive integer factors of 51262 that divides 51250 without a remainder.

1, 2, 19, 38, 71, 142, 361, 722, 1349, 2698, 25631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51250 and 51262. The biggest common factor number is the GCF number.
So the greatest common factor 51250 and 51262 is 2.

Also check out the Least Common Multiple of 51250 and 51262