What is the Greatest Common Factor of 15998 and 16002?

Greatest common factor (GCF) of 15998 and 16002 is 2.

GCF(15998,16002) = 2

We will now calculate the prime factors of 15998 and 16002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15998 and 16002.

How to find the GCF of 15998 and 16002?

We will first find the prime factorization of 15998 and 16002. After we will calculate the factors of 15998 and 16002 and find the biggest common factor number .

Step-1: Prime Factorization of 15998

Prime factors of 15998 are 2, 19, 421. Prime factorization of 15998 in exponential form is:

15998 = 2¹ × 19¹ × 421¹

Step-2: Prime Factorization of 16002

Prime factors of 16002 are 2, 3, 7, 127. Prime factorization of 16002 in exponential form is:

16002 = 2¹ × 3² × 7¹ × 127¹

Step-3: Factors of 15998

List of positive integer factors of 15998 that divides 15998 without a remainder.

1, 2, 19, 38, 421, 842, 7999

Step-4: Factors of 16002

List of positive integer factors of 16002 that divides 15998 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 127, 254, 381, 762, 889, 1143, 1778, 2286, 2667, 5334, 8001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15998 and 16002. The biggest common factor number is the GCF number.
So the greatest common factor 15998 and 16002 is 2.

Also check out the Least Common Multiple of 15998 and 16002