What is the Greatest Common Factor of 65250 and 65269?

Greatest common factor (GCF) of 65250 and 65269 is 1.

GCF(65250,65269) = 1

We will now calculate the prime factors of 65250 and 65269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65250 and 65269.

How to find the GCF of 65250 and 65269?

We will first find the prime factorization of 65250 and 65269. After we will calculate the factors of 65250 and 65269 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 65269

Prime factors of 65269 are 65269. Prime factorization of 65269 in exponential form is:

65269 = 65269¹

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 65269

List of positive integer factors of 65269 that divides 65250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65250 and 65269. The biggest common factor number is the GCF number.
So the greatest common factor 65250 and 65269 is 1.

Also check out the Least Common Multiple of 65250 and 65269