What is the Greatest Common Factor of 9984 and 10002?

Greatest common factor (GCF) of 9984 and 10002 is 6.

GCF(9984,10002) = 6

We will now calculate the prime factors of 9984 and 10002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9984 and 10002.

How to find the GCF of 9984 and 10002?

We will first find the prime factorization of 9984 and 10002. After we will calculate the factors of 9984 and 10002 and find the biggest common factor number .

Step-1: Prime Factorization of 9984

Prime factors of 9984 are 2, 3, 13. Prime factorization of 9984 in exponential form is:

9984 = 2⁸ × 3¹ × 13¹

Step-2: Prime Factorization of 10002

Prime factors of 10002 are 2, 3, 1667. Prime factorization of 10002 in exponential form is:

10002 = 2¹ × 3¹ × 1667¹

Step-3: Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992

Step-4: Factors of 10002

List of positive integer factors of 10002 that divides 9984 without a remainder.

1, 2, 3, 6, 1667, 3334, 5001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9984 and 10002. The biggest common factor number is the GCF number.
So the greatest common factor 9984 and 10002 is 6.

Also check out the Least Common Multiple of 9984 and 10002