What is the Greatest Common Factor of 59250 and 59268?

Greatest common factor (GCF) of 59250 and 59268 is 6.

GCF(59250,59268) = 6

We will now calculate the prime factors of 59250 and 59268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59250 and 59268.

How to find the GCF of 59250 and 59268?

We will first find the prime factorization of 59250 and 59268. After we will calculate the factors of 59250 and 59268 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 59268

Prime factors of 59268 are 2, 3, 11, 449. Prime factorization of 59268 in exponential form is:

59268 = 2² × 3¹ × 11¹ × 449¹

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 59268

List of positive integer factors of 59268 that divides 59250 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 449, 898, 1347, 1796, 2694, 4939, 5388, 9878, 14817, 19756, 29634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59250 and 59268. The biggest common factor number is the GCF number.
So the greatest common factor 59250 and 59268 is 6.

Also check out the Least Common Multiple of 59250 and 59268