What is the Greatest Common Factor of 59250 and 59265?

Greatest common factor (GCF) of 59250 and 59265 is 15.

GCF(59250,59265) = 15

We will now calculate the prime factors of 59250 and 59265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59250 and 59265.

How to find the GCF of 59250 and 59265?

We will first find the prime factorization of 59250 and 59265. After we will calculate the factors of 59250 and 59265 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 59265

Prime factors of 59265 are 3, 5, 439. Prime factorization of 59265 in exponential form is:

59265 = 3³ × 5¹ × 439¹

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 59265

List of positive integer factors of 59265 that divides 59250 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 439, 1317, 2195, 3951, 6585, 11853, 19755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59250 and 59265. The biggest common factor number is the GCF number.
So the greatest common factor 59250 and 59265 is 15.

Also check out the Least Common Multiple of 59250 and 59265