What is the Greatest Common Factor of 59250 and 59269?

Greatest common factor (GCF) of 59250 and 59269 is 1.

GCF(59250,59269) = 1

We will now calculate the prime factors of 59250 and 59269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59250 and 59269.

How to find the GCF of 59250 and 59269?

We will first find the prime factorization of 59250 and 59269. After we will calculate the factors of 59250 and 59269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59269

Prime factors of 59269 are 7, 8467. Prime factorization of 59269 in exponential form is:

59269 = 7¹ × 8467¹

Step-3: Factors of 59250

List of positive integer factors of 59250 that divides 59250 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

Step-4: Factors of 59269

List of positive integer factors of 59269 that divides 59250 without a remainder.

1, 7, 8467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59250 and 59269. The biggest common factor number is the GCF number.
So the greatest common factor 59250 and 59269 is 1.

Also check out the Least Common Multiple of 59250 and 59269