What is the Greatest Common Factor of 73257 and 73263?

Greatest common factor (GCF) of 73257 and 73263 is 3.

GCF(73257,73263) = 3

We will now calculate the prime factors of 73257 and 73263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73257 and 73263.

How to find the GCF of 73257 and 73263?

We will first find the prime factorization of 73257 and 73263. After we will calculate the factors of 73257 and 73263 and find the biggest common factor number .

Step-1: Prime Factorization of 73257

Prime factors of 73257 are 3, 24419. Prime factorization of 73257 in exponential form is:

73257 = 3¹ × 24419¹

Step-2: Prime Factorization of 73263

Prime factors of 73263 are 3, 24421. Prime factorization of 73263 in exponential form is:

73263 = 3¹ × 24421¹

Step-3: Factors of 73257

List of positive integer factors of 73257 that divides 73257 without a remainder.

1, 3, 24419

Step-4: Factors of 73263

List of positive integer factors of 73263 that divides 73257 without a remainder.

1, 3, 24421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73257 and 73263. The biggest common factor number is the GCF number.
So the greatest common factor 73257 and 73263 is 3.

Also check out the Least Common Multiple of 73257 and 73263