What is the Greatest Common Factor of 40005 and 40019?

Greatest common factor (GCF) of 40005 and 40019 is 7.

GCF(40005,40019) = 7

We will now calculate the prime factors of 40005 and 40019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40005 and 40019.

How to find the GCF of 40005 and 40019?

We will first find the prime factorization of 40005 and 40019. After we will calculate the factors of 40005 and 40019 and find the biggest common factor number .

Step-1: Prime Factorization of 40005

Prime factors of 40005 are 3, 5, 7, 127. Prime factorization of 40005 in exponential form is:

40005 = 3² × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 40019

Prime factors of 40019 are 7, 5717. Prime factorization of 40019 in exponential form is:

40019 = 7¹ × 5717¹

Step-3: Factors of 40005

List of positive integer factors of 40005 that divides 40005 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 127, 315, 381, 635, 889, 1143, 1905, 2667, 4445, 5715, 8001, 13335

Step-4: Factors of 40019

List of positive integer factors of 40019 that divides 40005 without a remainder.

1, 7, 5717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40005 and 40019. The biggest common factor number is the GCF number.
So the greatest common factor 40005 and 40019 is 7.

Also check out the Least Common Multiple of 40005 and 40019