What is the Greatest Common Factor of 8940 and 8955?

Greatest common factor (GCF) of 8940 and 8955 is 15.

GCF(8940,8955) = 15

We will now calculate the prime factors of 8940 and 8955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8940 and 8955.

How to find the GCF of 8940 and 8955?

We will first find the prime factorization of 8940 and 8955. After we will calculate the factors of 8940 and 8955 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 8955

Prime factors of 8955 are 3, 5, 199. Prime factorization of 8955 in exponential form is:

8955 = 3² × 5¹ × 199¹

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 8955

List of positive integer factors of 8955 that divides 8940 without a remainder.

1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8940 and 8955. The biggest common factor number is the GCF number.
So the greatest common factor 8940 and 8955 is 15.

Also check out the Least Common Multiple of 8940 and 8955