What is the Greatest Common Factor of 65235 and 65250?

Greatest common factor (GCF) of 65235 and 65250 is 15.

GCF(65235,65250) = 15

We will now calculate the prime factors of 65235 and 65250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65235 and 65250.

How to find the GCF of 65235 and 65250?

We will first find the prime factorization of 65235 and 65250. After we will calculate the factors of 65235 and 65250 and find the biggest common factor number .

Step-1: Prime Factorization of 65235

Prime factors of 65235 are 3, 5, 4349. Prime factorization of 65235 in exponential form is:

65235 = 3¹ × 5¹ × 4349¹

Step-2: 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-3: Factors of 65235

List of positive integer factors of 65235 that divides 65235 without a remainder.

1, 3, 5, 15, 4349, 13047, 21745

Step-4: Factors of 65250

List of positive integer factors of 65250 that divides 65235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65235 and 65250. The biggest common factor number is the GCF number.
So the greatest common factor 65235 and 65250 is 15.

Also check out the Least Common Multiple of 65235 and 65250