What is the Greatest Common Factor of 77517 and 77523?

Greatest common factor (GCF) of 77517 and 77523 is 3.

GCF(77517,77523) = 3

We will now calculate the prime factors of 77517 and 77523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77517 and 77523.

How to find the GCF of 77517 and 77523?

We will first find the prime factorization of 77517 and 77523. After we will calculate the factors of 77517 and 77523 and find the biggest common factor number .

Step-1: Prime Factorization of 77517

Prime factors of 77517 are 3, 11, 29. Prime factorization of 77517 in exponential form is:

77517 = 3⁵ × 11¹ × 29¹

Step-2: Prime Factorization of 77523

Prime factors of 77523 are 3, 25841. Prime factorization of 77523 in exponential form is:

77523 = 3¹ × 25841¹

Step-3: Factors of 77517

List of positive integer factors of 77517 that divides 77517 without a remainder.

1, 3, 9, 11, 27, 29, 33, 81, 87, 99, 243, 261, 297, 319, 783, 891, 957, 2349, 2673, 2871, 7047, 8613, 25839

Step-4: Factors of 77523

List of positive integer factors of 77523 that divides 77517 without a remainder.

1, 3, 25841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77517 and 77523. The biggest common factor number is the GCF number.
So the greatest common factor 77517 and 77523 is 3.

Also check out the Least Common Multiple of 77517 and 77523