What is the Greatest Common Factor of 8740 and 8759?

Greatest common factor (GCF) of 8740 and 8759 is 19.

GCF(8740,8759) = 19

We will now calculate the prime factors of 8740 and 8759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8740 and 8759.

How to find the GCF of 8740 and 8759?

We will first find the prime factorization of 8740 and 8759. After we will calculate the factors of 8740 and 8759 and find the biggest common factor number .

Step-1: Prime Factorization of 8740

Prime factors of 8740 are 2, 5, 19, 23. Prime factorization of 8740 in exponential form is:

8740 = 2² × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 8759

Prime factors of 8759 are 19, 461. Prime factorization of 8759 in exponential form is:

8759 = 19¹ × 461¹

Step-3: Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370

Step-4: Factors of 8759

List of positive integer factors of 8759 that divides 8740 without a remainder.

1, 19, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8740 and 8759. The biggest common factor number is the GCF number.
So the greatest common factor 8740 and 8759 is 19.

Also check out the Least Common Multiple of 8740 and 8759