What is the Greatest Common Factor of 8984 and 8990?

Greatest common factor (GCF) of 8984 and 8990 is 2.

GCF(8984,8990) = 2

We will now calculate the prime factors of 8984 and 8990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8984 and 8990.

How to find the GCF of 8984 and 8990?

We will first find the prime factorization of 8984 and 8990. After we will calculate the factors of 8984 and 8990 and find the biggest common factor number .

Step-1: Prime Factorization of 8984

Prime factors of 8984 are 2, 1123. Prime factorization of 8984 in exponential form is:

8984 = 2³ × 1123¹

Step-2: Prime Factorization of 8990

Prime factors of 8990 are 2, 5, 29, 31. Prime factorization of 8990 in exponential form is:

8990 = 2¹ × 5¹ × 29¹ × 31¹

Step-3: Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1, 2, 4, 8, 1123, 2246, 4492

Step-4: Factors of 8990

List of positive integer factors of 8990 that divides 8984 without a remainder.

1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8984 and 8990. The biggest common factor number is the GCF number.
So the greatest common factor 8984 and 8990 is 2.

Also check out the Least Common Multiple of 8984 and 8990