What is the Greatest Common Factor of 8785 and 8793?

Greatest common factor (GCF) of 8785 and 8793 is 1.

GCF(8785,8793) = 1

We will now calculate the prime factors of 8785 and 8793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8785 and 8793.

How to find the GCF of 8785 and 8793?

We will first find the prime factorization of 8785 and 8793. After we will calculate the factors of 8785 and 8793 and find the biggest common factor number .

Step-1: Prime Factorization of 8785

Prime factors of 8785 are 5, 7, 251. Prime factorization of 8785 in exponential form is:

8785 = 5¹ × 7¹ × 251¹

Step-2: Prime Factorization of 8793

Prime factors of 8793 are 3, 977. Prime factorization of 8793 in exponential form is:

8793 = 3² × 977¹

Step-3: Factors of 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1, 5, 7, 35, 251, 1255, 1757

Step-4: Factors of 8793

List of positive integer factors of 8793 that divides 8785 without a remainder.

1, 3, 9, 977, 2931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8785 and 8793. The biggest common factor number is the GCF number.
So the greatest common factor 8785 and 8793 is 1.

Also check out the Least Common Multiple of 8785 and 8793