What is the Greatest Common Factor of 52250 and 52261?

Greatest common factor (GCF) of 52250 and 52261 is 11.

GCF(52250,52261) = 11

We will now calculate the prime factors of 52250 and 52261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52250 and 52261.

How to find the GCF of 52250 and 52261?

We will first find the prime factorization of 52250 and 52261. After we will calculate the factors of 52250 and 52261 and find the biggest common factor number .

Step-1: Prime Factorization of 52250

Prime factors of 52250 are 2, 5, 11, 19. Prime factorization of 52250 in exponential form is:

52250 = 2¹ × 5³ × 11¹ × 19¹

Step-2: Prime Factorization of 52261

Prime factors of 52261 are 11, 4751. Prime factorization of 52261 in exponential form is:

52261 = 11¹ × 4751¹

Step-3: Factors of 52250

List of positive integer factors of 52250 that divides 52250 without a remainder.

1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 125, 190, 209, 250, 275, 418, 475, 550, 950, 1045, 1375, 2090, 2375, 2750, 4750, 5225, 10450, 26125

Step-4: Factors of 52261

List of positive integer factors of 52261 that divides 52250 without a remainder.

1, 11, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52250 and 52261. The biggest common factor number is the GCF number.
So the greatest common factor 52250 and 52261 is 11.

Also check out the Least Common Multiple of 52250 and 52261