What is the Greatest Common Factor of 39996 and 40003?

Greatest common factor (GCF) of 39996 and 40003 is 1.

GCF(39996,40003) = 1

We will now calculate the prime factors of 39996 and 40003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39996 and 40003.

How to find the GCF of 39996 and 40003?

We will first find the prime factorization of 39996 and 40003. After we will calculate the factors of 39996 and 40003 and find the biggest common factor number .

Step-1: Prime Factorization of 39996

Prime factors of 39996 are 2, 3, 11, 101. Prime factorization of 39996 in exponential form is:

39996 = 2² × 3² × 11¹ × 101¹

Step-2: Prime Factorization of 40003

Prime factors of 40003 are 109, 367. Prime factorization of 40003 in exponential form is:

40003 = 109¹ × 367¹

Step-3: Factors of 39996

List of positive integer factors of 39996 that divides 39996 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 101, 132, 198, 202, 303, 396, 404, 606, 909, 1111, 1212, 1818, 2222, 3333, 3636, 4444, 6666, 9999, 13332, 19998

Step-4: Factors of 40003

List of positive integer factors of 40003 that divides 39996 without a remainder.

1, 109, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39996 and 40003. The biggest common factor number is the GCF number.
So the greatest common factor 39996 and 40003 is 1.

Also check out the Least Common Multiple of 39996 and 40003