What is the Greatest Common Factor of 8738 and 8745?

Greatest common factor (GCF) of 8738 and 8745 is 1.

GCF(8738,8745) = 1

We will now calculate the prime factors of 8738 and 8745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8738 and 8745.

How to find the GCF of 8738 and 8745?

We will first find the prime factorization of 8738 and 8745. After we will calculate the factors of 8738 and 8745 and find the biggest common factor number .

Step-1: Prime Factorization of 8738

Prime factors of 8738 are 2, 17, 257. Prime factorization of 8738 in exponential form is:

8738 = 2¹ × 17¹ × 257¹

Step-2: 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-3: Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1, 2, 17, 34, 257, 514, 4369

Step-4: Factors of 8745

List of positive integer factors of 8745 that divides 8738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8738 and 8745. The biggest common factor number is the GCF number.
So the greatest common factor 8738 and 8745 is 1.

Also check out the Least Common Multiple of 8738 and 8745