What is the Greatest Common Factor of 19992 and 20006?

Greatest common factor (GCF) of 19992 and 20006 is 14.

GCF(19992,20006) = 14

We will now calculate the prime factors of 19992 and 20006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19992 and 20006.

How to find the GCF of 19992 and 20006?

We will first find the prime factorization of 19992 and 20006. After we will calculate the factors of 19992 and 20006 and find the biggest common factor number .

Step-1: Prime Factorization of 19992

Prime factors of 19992 are 2, 3, 7, 17. Prime factorization of 19992 in exponential form is:

19992 = 2³ × 3¹ × 7² × 17¹

Step-2: Prime Factorization of 20006

Prime factors of 20006 are 2, 7, 1429. Prime factorization of 20006 in exponential form is:

20006 = 2¹ × 7¹ × 1429¹

Step-3: Factors of 19992

List of positive integer factors of 19992 that divides 19992 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 49, 51, 56, 68, 84, 98, 102, 119, 136, 147, 168, 196, 204, 238, 294, 357, 392, 408, 476, 588, 714, 833, 952, 1176, 1428, 1666, 2499, 2856, 3332, 4998, 6664, 9996

Step-4: Factors of 20006

List of positive integer factors of 20006 that divides 19992 without a remainder.

1, 2, 7, 14, 1429, 2858, 10003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19992 and 20006. The biggest common factor number is the GCF number.
So the greatest common factor 19992 and 20006 is 14.

Also check out the Least Common Multiple of 19992 and 20006