What is the Greatest Common Factor of 77223 and 77227?

Greatest common factor (GCF) of 77223 and 77227 is 1.

GCF(77223,77227) = 1

We will now calculate the prime factors of 77223 and 77227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77223 and 77227.

How to find the GCF of 77223 and 77227?

We will first find the prime factorization of 77223 and 77227. After we will calculate the factors of 77223 and 77227 and find the biggest common factor number .

Step-1: Prime Factorization of 77223

Prime factors of 77223 are 3, 25741. Prime factorization of 77223 in exponential form is:

77223 = 3¹ × 25741¹

Step-2: Prime Factorization of 77227

Prime factors of 77227 are 29, 2663. Prime factorization of 77227 in exponential form is:

77227 = 29¹ × 2663¹

Step-3: Factors of 77223

List of positive integer factors of 77223 that divides 77223 without a remainder.

1, 3, 25741

Step-4: Factors of 77227

List of positive integer factors of 77227 that divides 77223 without a remainder.

1, 29, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77223 and 77227. The biggest common factor number is the GCF number.
So the greatest common factor 77223 and 77227 is 1.

Also check out the Least Common Multiple of 77223 and 77227