What is the Greatest Common Factor of 39996 and 40012?

Greatest common factor (GCF) of 39996 and 40012 is 4.

GCF(39996,40012) = 4

We will now calculate the prime factors of 39996 and 40012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39996 and 40012.

How to find the GCF of 39996 and 40012?

We will first find the prime factorization of 39996 and 40012. After we will calculate the factors of 39996 and 40012 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 40012

Prime factors of 40012 are 2, 7, 1429. Prime factorization of 40012 in exponential form is:

40012 = 2² × 7¹ × 1429¹

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 40012

List of positive integer factors of 40012 that divides 39996 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39996 and 40012. The biggest common factor number is the GCF number.
So the greatest common factor 39996 and 40012 is 4.

Also check out the Least Common Multiple of 39996 and 40012