What is the Greatest Common Factor of 77223 and 77229?

Greatest common factor (GCF) of 77223 and 77229 is 3.

GCF(77223,77229) = 3

We will now calculate the prime factors of 77223 and 77229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77223 and 77229.

How to find the GCF of 77223 and 77229?

We will first find the prime factorization of 77223 and 77229. After we will calculate the factors of 77223 and 77229 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 77229

Prime factors of 77229 are 3, 8581. Prime factorization of 77229 in exponential form is:

77229 = 3² × 8581¹

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 77229

List of positive integer factors of 77229 that divides 77223 without a remainder.

1, 3, 9, 8581, 25743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77223 and 77229. The biggest common factor number is the GCF number.
So the greatest common factor 77223 and 77229 is 3.

Also check out the Least Common Multiple of 77223 and 77229