What is the Greatest Common Factor of 77517 and 77528?

Greatest common factor (GCF) of 77517 and 77528 is 11.

GCF(77517,77528) = 11

We will now calculate the prime factors of 77517 and 77528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77517 and 77528.

How to find the GCF of 77517 and 77528?

We will first find the prime factorization of 77517 and 77528. After we will calculate the factors of 77517 and 77528 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 77528

Prime factors of 77528 are 2, 11, 881. Prime factorization of 77528 in exponential form is:

77528 = 2³ × 11¹ × 881¹

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 77528

List of positive integer factors of 77528 that divides 77517 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 881, 1762, 3524, 7048, 9691, 19382, 38764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77517 and 77528. The biggest common factor number is the GCF number.
So the greatest common factor 77517 and 77528 is 11.

Also check out the Least Common Multiple of 77517 and 77528