What is the Greatest Common Factor of 40014 and 40033?

Greatest common factor (GCF) of 40014 and 40033 is 19.

GCF(40014,40033) = 19

We will now calculate the prime factors of 40014 and 40033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40014 and 40033.

How to find the GCF of 40014 and 40033?

We will first find the prime factorization of 40014 and 40033. After we will calculate the factors of 40014 and 40033 and find the biggest common factor number .

Step-1: Prime Factorization of 40014

Prime factors of 40014 are 2, 3, 13, 19. Prime factorization of 40014 in exponential form is:

40014 = 2¹ × 3⁴ × 13¹ × 19¹

Step-2: Prime Factorization of 40033

Prime factors of 40033 are 7, 19, 43. Prime factorization of 40033 in exponential form is:

40033 = 7² × 19¹ × 43¹

Step-3: Factors of 40014

List of positive integer factors of 40014 that divides 40014 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007

Step-4: Factors of 40033

List of positive integer factors of 40033 that divides 40014 without a remainder.

1, 7, 19, 43, 49, 133, 301, 817, 931, 2107, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40014 and 40033. The biggest common factor number is the GCF number.
So the greatest common factor 40014 and 40033 is 19.

Also check out the Least Common Multiple of 40014 and 40033