What is the Greatest Common Factor of 8772 and 8777?

Greatest common factor (GCF) of 8772 and 8777 is 1.

GCF(8772,8777) = 1

We will now calculate the prime factors of 8772 and 8777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8772 and 8777.

How to find the GCF of 8772 and 8777?

We will first find the prime factorization of 8772 and 8777. After we will calculate the factors of 8772 and 8777 and find the biggest common factor number .

Step-1: Prime Factorization of 8772

Prime factors of 8772 are 2, 3, 17, 43. Prime factorization of 8772 in exponential form is:

8772 = 2² × 3¹ × 17¹ × 43¹

Step-2: Prime Factorization of 8777

Prime factors of 8777 are 67, 131. Prime factorization of 8777 in exponential form is:

8777 = 67¹ × 131¹

Step-3: Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386

Step-4: Factors of 8777

List of positive integer factors of 8777 that divides 8772 without a remainder.

1, 67, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8772 and 8777. The biggest common factor number is the GCF number.
So the greatest common factor 8772 and 8777 is 1.

Also check out the Least Common Multiple of 8772 and 8777