What is the Greatest Common Factor of 8940 and 8950?

Greatest common factor (GCF) of 8940 and 8950 is 10.

GCF(8940,8950) = 10

We will now calculate the prime factors of 8940 and 8950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8940 and 8950.

How to find the GCF of 8940 and 8950?

We will first find the prime factorization of 8940 and 8950. After we will calculate the factors of 8940 and 8950 and find the biggest common factor number .

Step-1: Prime Factorization of 8940

Prime factors of 8940 are 2, 3, 5, 149. Prime factorization of 8940 in exponential form is:

8940 = 2² × 3¹ × 5¹ × 149¹

Step-2: Prime Factorization of 8950

Prime factors of 8950 are 2, 5, 179. Prime factorization of 8950 in exponential form is:

8950 = 2¹ × 5² × 179¹

Step-3: Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470

Step-4: Factors of 8950

List of positive integer factors of 8950 that divides 8940 without a remainder.

1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8940 and 8950. The biggest common factor number is the GCF number.
So the greatest common factor 8940 and 8950 is 10.

Also check out the Least Common Multiple of 8940 and 8950