What is the Greatest Common Factor of 65250 and 65268?

Greatest common factor (GCF) of 65250 and 65268 is 18.

GCF(65250,65268) = 18

We will now calculate the prime factors of 65250 and 65268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65250 and 65268.

How to find the GCF of 65250 and 65268?

We will first find the prime factorization of 65250 and 65268. After we will calculate the factors of 65250 and 65268 and find the biggest common factor number .

Step-1: Prime Factorization of 65250

Prime factors of 65250 are 2, 3, 5, 29. Prime factorization of 65250 in exponential form is:

65250 = 2¹ × 3² × 5³ × 29¹

Step-2: Prime Factorization of 65268

Prime factors of 65268 are 2, 3, 7, 37. Prime factorization of 65268 in exponential form is:

65268 = 2² × 3² × 7² × 37¹

Step-3: Factors of 65250

List of positive integer factors of 65250 that divides 65250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 29, 30, 45, 50, 58, 75, 87, 90, 125, 145, 150, 174, 225, 250, 261, 290, 375, 435, 450, 522, 725, 750, 870, 1125, 1305, 1450, 2175, 2250, 2610, 3625, 4350, 6525, 7250, 10875, 13050, 21750, 32625

Step-4: Factors of 65268

List of positive integer factors of 65268 that divides 65250 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 49, 63, 74, 84, 98, 111, 126, 147, 148, 196, 222, 252, 259, 294, 333, 441, 444, 518, 588, 666, 777, 882, 1036, 1332, 1554, 1764, 1813, 2331, 3108, 3626, 4662, 5439, 7252, 9324, 10878, 16317, 21756, 32634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65250 and 65268. The biggest common factor number is the GCF number.
So the greatest common factor 65250 and 65268 is 18.

Also check out the Least Common Multiple of 65250 and 65268