What is the Greatest Common Factor of 8750 and 8764?

Greatest common factor (GCF) of 8750 and 8764 is 14.

GCF(8750,8764) = 14

We will now calculate the prime factors of 8750 and 8764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8750 and 8764.

How to find the GCF of 8750 and 8764?

We will first find the prime factorization of 8750 and 8764. After we will calculate the factors of 8750 and 8764 and find the biggest common factor number .

Step-1: Prime Factorization of 8750

Prime factors of 8750 are 2, 5, 7. Prime factorization of 8750 in exponential form is:

8750 = 2¹ × 5⁴ × 7¹

Step-2: Prime Factorization of 8764

Prime factors of 8764 are 2, 7, 313. Prime factorization of 8764 in exponential form is:

8764 = 2² × 7¹ × 313¹

Step-3: Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375

Step-4: Factors of 8764

List of positive integer factors of 8764 that divides 8750 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8750 and 8764. The biggest common factor number is the GCF number.
So the greatest common factor 8750 and 8764 is 14.

Also check out the Least Common Multiple of 8750 and 8764