What is the Greatest Common Factor of 53230 and 53250?

Greatest common factor (GCF) of 53230 and 53250 is 10.

GCF(53230,53250) = 10

We will now calculate the prime factors of 53230 and 53250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53230 and 53250.

How to find the GCF of 53230 and 53250?

We will first find the prime factorization of 53230 and 53250. After we will calculate the factors of 53230 and 53250 and find the biggest common factor number .

Step-1: Prime Factorization of 53230

Prime factors of 53230 are 2, 5, 5323. Prime factorization of 53230 in exponential form is:

53230 = 2¹ × 5¹ × 5323¹

Step-2: Prime Factorization of 53250

Prime factors of 53250 are 2, 3, 5, 71. Prime factorization of 53250 in exponential form is:

53250 = 2¹ × 3¹ × 5³ × 71¹

Step-3: Factors of 53230

List of positive integer factors of 53230 that divides 53230 without a remainder.

1, 2, 5, 10, 5323, 10646, 26615

Step-4: Factors of 53250

List of positive integer factors of 53250 that divides 53230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 125, 142, 150, 213, 250, 355, 375, 426, 710, 750, 1065, 1775, 2130, 3550, 5325, 8875, 10650, 17750, 26625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53230 and 53250. The biggest common factor number is the GCF number.
So the greatest common factor 53230 and 53250 is 10.

Also check out the Least Common Multiple of 53230 and 53250