What is the Greatest Common Factor of 52235 and 52250?

Greatest common factor (GCF) of 52235 and 52250 is 5.

GCF(52235,52250) = 5

We will now calculate the prime factors of 52235 and 52250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52235 and 52250.

How to find the GCF of 52235 and 52250?

We will first find the prime factorization of 52235 and 52250. After we will calculate the factors of 52235 and 52250 and find the biggest common factor number .

Step-1: Prime Factorization of 52235

Prime factors of 52235 are 5, 31, 337. Prime factorization of 52235 in exponential form is:

52235 = 5¹ × 31¹ × 337¹

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 52235

List of positive integer factors of 52235 that divides 52235 without a remainder.

1, 5, 31, 155, 337, 1685, 10447

Step-4: Factors of 52250

List of positive integer factors of 52250 that divides 52235 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 52235 and 52250. The biggest common factor number is the GCF number.
So the greatest common factor 52235 and 52250 is 5.

Also check out the Least Common Multiple of 52235 and 52250