What is the Greatest Common Factor of 59245 and 59250?

Greatest common factor (GCF) of 59245 and 59250 is 5.

GCF(59245,59250) = 5

We will now calculate the prime factors of 59245 and 59250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59245 and 59250.

How to find the GCF of 59245 and 59250?

We will first find the prime factorization of 59245 and 59250. After we will calculate the factors of 59245 and 59250 and find the biggest common factor number .

Step-1: Prime Factorization of 59245

Prime factors of 59245 are 5, 17, 41. Prime factorization of 59245 in exponential form is:

59245 = 5¹ × 17² × 41¹

Step-2: Prime Factorization of 59250

Prime factors of 59250 are 2, 3, 5, 79. Prime factorization of 59250 in exponential form is:

59250 = 2¹ × 3¹ × 5³ × 79¹

Step-3: Factors of 59245

List of positive integer factors of 59245 that divides 59245 without a remainder.

1, 5, 17, 41, 85, 205, 289, 697, 1445, 3485, 11849

Step-4: Factors of 59250

List of positive integer factors of 59250 that divides 59245 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 79, 125, 150, 158, 237, 250, 375, 395, 474, 750, 790, 1185, 1975, 2370, 3950, 5925, 9875, 11850, 19750, 29625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59245 and 59250. The biggest common factor number is the GCF number.
So the greatest common factor 59245 and 59250 is 5.

Also check out the Least Common Multiple of 59245 and 59250