What is the Greatest Common Factor of 73236 and 73253?

Greatest common factor (GCF) of 73236 and 73253 is 17.

GCF(73236,73253) = 17

We will now calculate the prime factors of 73236 and 73253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73236 and 73253.

How to find the GCF of 73236 and 73253?

We will first find the prime factorization of 73236 and 73253. After we will calculate the factors of 73236 and 73253 and find the biggest common factor number .

Step-1: Prime Factorization of 73236

Prime factors of 73236 are 2, 3, 17, 359. Prime factorization of 73236 in exponential form is:

73236 = 2² × 3¹ × 17¹ × 359¹

Step-2: Prime Factorization of 73253

Prime factors of 73253 are 17, 31, 139. Prime factorization of 73253 in exponential form is:

73253 = 17¹ × 31¹ × 139¹

Step-3: Factors of 73236

List of positive integer factors of 73236 that divides 73236 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 359, 718, 1077, 1436, 2154, 4308, 6103, 12206, 18309, 24412, 36618

Step-4: Factors of 73253

List of positive integer factors of 73253 that divides 73236 without a remainder.

1, 17, 31, 139, 527, 2363, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73236 and 73253. The biggest common factor number is the GCF number.
So the greatest common factor 73236 and 73253 is 17.

Also check out the Least Common Multiple of 73236 and 73253