What is the Greatest Common Factor of 77283 and 77289?

Greatest common factor (GCF) of 77283 and 77289 is 3.

GCF(77283,77289) = 3

We will now calculate the prime factors of 77283 and 77289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77283 and 77289.

How to find the GCF of 77283 and 77289?

We will first find the prime factorization of 77283 and 77289. After we will calculate the factors of 77283 and 77289 and find the biggest common factor number .

Step-1: Prime Factorization of 77283

Prime factors of 77283 are 3, 31, 277. Prime factorization of 77283 in exponential form is:

77283 = 3² × 31¹ × 277¹

Step-2: Prime Factorization of 77289

Prime factors of 77289 are 3, 25763. Prime factorization of 77289 in exponential form is:

77289 = 3¹ × 25763¹

Step-3: Factors of 77283

List of positive integer factors of 77283 that divides 77283 without a remainder.

1, 3, 9, 31, 93, 277, 279, 831, 2493, 8587, 25761

Step-4: Factors of 77289

List of positive integer factors of 77289 that divides 77283 without a remainder.

1, 3, 25763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77283 and 77289. The biggest common factor number is the GCF number.
So the greatest common factor 77283 and 77289 is 3.

Also check out the Least Common Multiple of 77283 and 77289