What is the Greatest Common Factor of 40066 and 40079?

Greatest common factor (GCF) of 40066 and 40079 is 13.

GCF(40066,40079) = 13

We will now calculate the prime factors of 40066 and 40079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40066 and 40079.

How to find the GCF of 40066 and 40079?

We will first find the prime factorization of 40066 and 40079. After we will calculate the factors of 40066 and 40079 and find the biggest common factor number .

Step-1: Prime Factorization of 40066

Prime factors of 40066 are 2, 13, 23, 67. Prime factorization of 40066 in exponential form is:

40066 = 2¹ × 13¹ × 23¹ × 67¹

Step-2: Prime Factorization of 40079

Prime factors of 40079 are 13, 3083. Prime factorization of 40079 in exponential form is:

40079 = 13¹ × 3083¹

Step-3: Factors of 40066

List of positive integer factors of 40066 that divides 40066 without a remainder.

1, 2, 13, 23, 26, 46, 67, 134, 299, 598, 871, 1541, 1742, 3082, 20033

Step-4: Factors of 40079

List of positive integer factors of 40079 that divides 40066 without a remainder.

1, 13, 3083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40066 and 40079. The biggest common factor number is the GCF number.
So the greatest common factor 40066 and 40079 is 13.

Also check out the Least Common Multiple of 40066 and 40079