What is the Greatest Common Factor of 8982 and 9002?

Greatest common factor (GCF) of 8982 and 9002 is 2.

GCF(8982,9002) = 2

We will now calculate the prime factors of 8982 and 9002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8982 and 9002.

How to find the GCF of 8982 and 9002?

We will first find the prime factorization of 8982 and 9002. After we will calculate the factors of 8982 and 9002 and find the biggest common factor number .

Step-1: Prime Factorization of 8982

Prime factors of 8982 are 2, 3, 499. Prime factorization of 8982 in exponential form is:

8982 = 2¹ × 3² × 499¹

Step-2: Prime Factorization of 9002

Prime factors of 9002 are 2, 7, 643. Prime factorization of 9002 in exponential form is:

9002 = 2¹ × 7¹ × 643¹

Step-3: Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491

Step-4: Factors of 9002

List of positive integer factors of 9002 that divides 8982 without a remainder.

1, 2, 7, 14, 643, 1286, 4501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8982 and 9002. The biggest common factor number is the GCF number.
So the greatest common factor 8982 and 9002 is 2.

Also check out the Least Common Multiple of 8982 and 9002