What is the Greatest Common Factor of 77502 and 77517?

Greatest common factor (GCF) of 77502 and 77517 is 3.

GCF(77502,77517) = 3

We will now calculate the prime factors of 77502 and 77517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77502 and 77517.

How to find the GCF of 77502 and 77517?

We will first find the prime factorization of 77502 and 77517. After we will calculate the factors of 77502 and 77517 and find the biggest common factor number .

Step-1: Prime Factorization of 77502

Prime factors of 77502 are 2, 3, 12917. Prime factorization of 77502 in exponential form is:

77502 = 2¹ × 3¹ × 12917¹

Step-2: 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-3: Factors of 77502

List of positive integer factors of 77502 that divides 77502 without a remainder.

1, 2, 3, 6, 12917, 25834, 38751

Step-4: Factors of 77517

List of positive integer factors of 77517 that divides 77502 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77502 and 77517. The biggest common factor number is the GCF number.
So the greatest common factor 77502 and 77517 is 3.

Also check out the Least Common Multiple of 77502 and 77517