What is the Greatest Common Factor of 8745 and 8761?

Greatest common factor (GCF) of 8745 and 8761 is 1.

GCF(8745,8761) = 1

We will now calculate the prime factors of 8745 and 8761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8745 and 8761.

How to find the GCF of 8745 and 8761?

We will first find the prime factorization of 8745 and 8761. After we will calculate the factors of 8745 and 8761 and find the biggest common factor number .

Step-1: Prime Factorization of 8745

Prime factors of 8745 are 3, 5, 11, 53. Prime factorization of 8745 in exponential form is:

8745 = 3¹ × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 8761

Prime factors of 8761 are 8761. Prime factorization of 8761 in exponential form is:

8761 = 8761¹

Step-3: Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915

Step-4: Factors of 8761

List of positive integer factors of 8761 that divides 8745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8745 and 8761. The biggest common factor number is the GCF number.
So the greatest common factor 8745 and 8761 is 1.

Also check out the Least Common Multiple of 8745 and 8761