What is the Greatest Common Factor of 8940 and 8956?

Greatest common factor (GCF) of 8940 and 8956 is 4.

GCF(8940,8956) = 4

We will now calculate the prime factors of 8940 and 8956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8940 and 8956.

How to find the GCF of 8940 and 8956?

We will first find the prime factorization of 8940 and 8956. After we will calculate the factors of 8940 and 8956 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 8956

Prime factors of 8956 are 2, 2239. Prime factorization of 8956 in exponential form is:

8956 = 2² × 2239¹

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 8956

List of positive integer factors of 8956 that divides 8940 without a remainder.

1, 2, 4, 2239, 4478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8940 and 8956. The biggest common factor number is the GCF number.
So the greatest common factor 8940 and 8956 is 4.

Also check out the Least Common Multiple of 8940 and 8956