What is the Greatest Common Factor of 77281 and 77289?

Greatest common factor (GCF) of 77281 and 77289 is 1.

GCF(77281,77289) = 1

We will now calculate the prime factors of 77281 and 77289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77281 and 77289.

How to find the GCF of 77281 and 77289?

We will first find the prime factorization of 77281 and 77289. After we will calculate the factors of 77281 and 77289 and find the biggest common factor number .

Step-1: Prime Factorization of 77281

Prime factors of 77281 are 109, 709. Prime factorization of 77281 in exponential form is:

77281 = 109¹ × 709¹

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 77281

List of positive integer factors of 77281 that divides 77281 without a remainder.

1, 109, 709

Step-4: Factors of 77289

List of positive integer factors of 77289 that divides 77281 without a remainder.

1, 3, 25763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77281 and 77289. The biggest common factor number is the GCF number.
So the greatest common factor 77281 and 77289 is 1.

Also check out the Least Common Multiple of 77281 and 77289