What is the Greatest Common Factor of 77767 and 77786?

Greatest common factor (GCF) of 77767 and 77786 is 19.

GCF(77767,77786) = 19

We will now calculate the prime factors of 77767 and 77786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77767 and 77786.

How to find the GCF of 77767 and 77786?

We will first find the prime factorization of 77767 and 77786. After we will calculate the factors of 77767 and 77786 and find the biggest common factor number .

Step-1: Prime Factorization of 77767

Prime factors of 77767 are 19, 4093. Prime factorization of 77767 in exponential form is:

77767 = 19¹ × 4093¹

Step-2: Prime Factorization of 77786

Prime factors of 77786 are 2, 19, 23, 89. Prime factorization of 77786 in exponential form is:

77786 = 2¹ × 19¹ × 23¹ × 89¹

Step-3: Factors of 77767

List of positive integer factors of 77767 that divides 77767 without a remainder.

1, 19, 4093

Step-4: Factors of 77786

List of positive integer factors of 77786 that divides 77767 without a remainder.

1, 2, 19, 23, 38, 46, 89, 178, 437, 874, 1691, 2047, 3382, 4094, 38893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77767 and 77786. The biggest common factor number is the GCF number.
So the greatest common factor 77767 and 77786 is 19.

Also check out the Least Common Multiple of 77767 and 77786