What is the Greatest Common Factor of 77656 and 77671?

Greatest common factor (GCF) of 77656 and 77671 is 1.

GCF(77656,77671) = 1

We will now calculate the prime factors of 77656 and 77671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77656 and 77671.

How to find the GCF of 77656 and 77671?

We will first find the prime factorization of 77656 and 77671. After we will calculate the factors of 77656 and 77671 and find the biggest common factor number .

Step-1: Prime Factorization of 77656

Prime factors of 77656 are 2, 17, 571. Prime factorization of 77656 in exponential form is:

77656 = 2³ × 17¹ × 571¹

Step-2: Prime Factorization of 77671

Prime factors of 77671 are 11, 23, 307. Prime factorization of 77671 in exponential form is:

77671 = 11¹ × 23¹ × 307¹

Step-3: Factors of 77656

List of positive integer factors of 77656 that divides 77656 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 571, 1142, 2284, 4568, 9707, 19414, 38828

Step-4: Factors of 77671

List of positive integer factors of 77671 that divides 77656 without a remainder.

1, 11, 23, 253, 307, 3377, 7061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77656 and 77671. The biggest common factor number is the GCF number.
So the greatest common factor 77656 and 77671 is 1.

Also check out the Least Common Multiple of 77656 and 77671