What is the Greatest Common Factor of 8740 and 8758?

Greatest common factor (GCF) of 8740 and 8758 is 2.

GCF(8740,8758) = 2

We will now calculate the prime factors of 8740 and 8758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8740 and 8758.

How to find the GCF of 8740 and 8758?

We will first find the prime factorization of 8740 and 8758. After we will calculate the factors of 8740 and 8758 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 8758

Prime factors of 8758 are 2, 29, 151. Prime factorization of 8758 in exponential form is:

8758 = 2¹ × 29¹ × 151¹

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 8758

List of positive integer factors of 8758 that divides 8740 without a remainder.

1, 2, 29, 58, 151, 302, 4379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8740 and 8758. The biggest common factor number is the GCF number.
So the greatest common factor 8740 and 8758 is 2.

Also check out the Least Common Multiple of 8740 and 8758