What is the Greatest Common Factor of 8745 and 8749?

Greatest common factor (GCF) of 8745 and 8749 is 1.

GCF(8745,8749) = 1

We will now calculate the prime factors of 8745 and 8749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8745 and 8749.

How to find the GCF of 8745 and 8749?

We will first find the prime factorization of 8745 and 8749. After we will calculate the factors of 8745 and 8749 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 8749

Prime factors of 8749 are 13, 673. Prime factorization of 8749 in exponential form is:

8749 = 13¹ × 673¹

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 8749

List of positive integer factors of 8749 that divides 8745 without a remainder.

1, 13, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8745 and 8749. The biggest common factor number is the GCF number.
So the greatest common factor 8745 and 8749 is 1.

Also check out the Least Common Multiple of 8745 and 8749