What is the Greatest Common Factor of 77556 and 77571?

Greatest common factor (GCF) of 77556 and 77571 is 3.

GCF(77556,77571) = 3

We will now calculate the prime factors of 77556 and 77571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77556 and 77571.

How to find the GCF of 77556 and 77571?

We will first find the prime factorization of 77556 and 77571. After we will calculate the factors of 77556 and 77571 and find the biggest common factor number .

Step-1: Prime Factorization of 77556

Prime factors of 77556 are 2, 3, 23, 281. Prime factorization of 77556 in exponential form is:

77556 = 2² × 3¹ × 23¹ × 281¹

Step-2: Prime Factorization of 77571

Prime factors of 77571 are 3, 13, 17. Prime factorization of 77571 in exponential form is:

77571 = 3³ × 13² × 17¹

Step-3: Factors of 77556

List of positive integer factors of 77556 that divides 77556 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 281, 562, 843, 1124, 1686, 3372, 6463, 12926, 19389, 25852, 38778

Step-4: Factors of 77571

List of positive integer factors of 77571 that divides 77556 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 169, 221, 351, 459, 507, 663, 1521, 1989, 2873, 4563, 5967, 8619, 25857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77556 and 77571. The biggest common factor number is the GCF number.
So the greatest common factor 77556 and 77571 is 3.

Also check out the Least Common Multiple of 77556 and 77571