What is the Greatest Common Factor of 39997 and 40014?

Greatest common factor (GCF) of 39997 and 40014 is 1.

GCF(39997,40014) = 1

We will now calculate the prime factors of 39997 and 40014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39997 and 40014.

How to find the GCF of 39997 and 40014?

We will first find the prime factorization of 39997 and 40014. After we will calculate the factors of 39997 and 40014 and find the biggest common factor number .

Step-1: Prime Factorization of 39997

Prime factors of 39997 are 23, 37, 47. Prime factorization of 39997 in exponential form is:

39997 = 23¹ × 37¹ × 47¹

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 39997

List of positive integer factors of 39997 that divides 39997 without a remainder.

1, 23, 37, 47, 851, 1081, 1739

Step-4: Factors of 40014

List of positive integer factors of 40014 that divides 39997 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 39997 and 40014. The biggest common factor number is the GCF number.
So the greatest common factor 39997 and 40014 is 1.

Also check out the Least Common Multiple of 39997 and 40014