What is the Greatest Common Factor of 52230 and 52250?

Greatest common factor (GCF) of 52230 and 52250 is 10.

GCF(52230,52250) = 10

We will now calculate the prime factors of 52230 and 52250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52230 and 52250.

How to find the GCF of 52230 and 52250?

We will first find the prime factorization of 52230 and 52250. After we will calculate the factors of 52230 and 52250 and find the biggest common factor number .

Step-1: Prime Factorization of 52230

Prime factors of 52230 are 2, 3, 5, 1741. Prime factorization of 52230 in exponential form is:

52230 = 2¹ × 3¹ × 5¹ × 1741¹

Step-2: 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-3: Factors of 52230

List of positive integer factors of 52230 that divides 52230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1741, 3482, 5223, 8705, 10446, 17410, 26115

Step-4: Factors of 52250

List of positive integer factors of 52250 that divides 52230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52230 and 52250. The biggest common factor number is the GCF number.
So the greatest common factor 52230 and 52250 is 10.

Also check out the Least Common Multiple of 52230 and 52250