What is the Greatest Common Factor of 19984 and 20002?

Greatest common factor (GCF) of 19984 and 20002 is 2.

GCF(19984,20002) = 2

We will now calculate the prime factors of 19984 and 20002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19984 and 20002.

How to find the GCF of 19984 and 20002?

We will first find the prime factorization of 19984 and 20002. After we will calculate the factors of 19984 and 20002 and find the biggest common factor number .

Step-1: Prime Factorization of 19984

Prime factors of 19984 are 2, 1249. Prime factorization of 19984 in exponential form is:

19984 = 2⁴ × 1249¹

Step-2: Prime Factorization of 20002

Prime factors of 20002 are 2, 73, 137. Prime factorization of 20002 in exponential form is:

20002 = 2¹ × 73¹ × 137¹

Step-3: Factors of 19984

List of positive integer factors of 19984 that divides 19984 without a remainder.

1, 2, 4, 8, 16, 1249, 2498, 4996, 9992

Step-4: Factors of 20002

List of positive integer factors of 20002 that divides 19984 without a remainder.

1, 2, 73, 137, 146, 274, 10001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19984 and 20002. The biggest common factor number is the GCF number.
So the greatest common factor 19984 and 20002 is 2.

Also check out the Least Common Multiple of 19984 and 20002