What is the Greatest Common Factor of 40001 and 40014?

Greatest common factor (GCF) of 40001 and 40014 is 13.

GCF(40001,40014) = 13

We will now calculate the prime factors of 40001 and 40014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40001 and 40014.

How to find the GCF of 40001 and 40014?

We will first find the prime factorization of 40001 and 40014. After we will calculate the factors of 40001 and 40014 and find the biggest common factor number .

Step-1: Prime Factorization of 40001

Prime factors of 40001 are 13, 17, 181. Prime factorization of 40001 in exponential form is:

40001 = 13¹ × 17¹ × 181¹

Step-2: 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-3: Factors of 40001

List of positive integer factors of 40001 that divides 40001 without a remainder.

1, 13, 17, 181, 221, 2353, 3077

Step-4: Factors of 40014

List of positive integer factors of 40014 that divides 40001 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40001 and 40014. The biggest common factor number is the GCF number.
So the greatest common factor 40001 and 40014 is 13.

Also check out the Least Common Multiple of 40001 and 40014