What is the Greatest Common Factor of 77506 and 77517?

Greatest common factor (GCF) of 77506 and 77517 is 11.

GCF(77506,77517) = 11

We will now calculate the prime factors of 77506 and 77517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77506 and 77517.

How to find the GCF of 77506 and 77517?

We will first find the prime factorization of 77506 and 77517. After we will calculate the factors of 77506 and 77517 and find the biggest common factor number .

Step-1: Prime Factorization of 77506

Prime factors of 77506 are 2, 11, 13, 271. Prime factorization of 77506 in exponential form is:

77506 = 2¹ × 11¹ × 13¹ × 271¹

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 77506

List of positive integer factors of 77506 that divides 77506 without a remainder.

1, 2, 11, 13, 22, 26, 143, 271, 286, 542, 2981, 3523, 5962, 7046, 38753

Step-4: Factors of 77517

List of positive integer factors of 77517 that divides 77506 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 77506 and 77517. The biggest common factor number is the GCF number.
So the greatest common factor 77506 and 77517 is 11.

Also check out the Least Common Multiple of 77506 and 77517