What is the Greatest Common Factor of 77281 and 77287?

Greatest common factor (GCF) of 77281 and 77287 is 1.

GCF(77281,77287) = 1

We will now calculate the prime factors of 77281 and 77287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77281 and 77287.

How to find the GCF of 77281 and 77287?

We will first find the prime factorization of 77281 and 77287. After we will calculate the factors of 77281 and 77287 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 77287

Prime factors of 77287 are 7, 61, 181. Prime factorization of 77287 in exponential form is:

77287 = 7¹ × 61¹ × 181¹

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 77287

List of positive integer factors of 77287 that divides 77281 without a remainder.

1, 7, 61, 181, 427, 1267, 11041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77281 and 77287. The biggest common factor number is the GCF number.
So the greatest common factor 77281 and 77287 is 1.

Also check out the Least Common Multiple of 77281 and 77287