What is the Greatest Common Factor of 40052 and 40066?

Greatest common factor (GCF) of 40052 and 40066 is 2.

GCF(40052,40066) = 2

We will now calculate the prime factors of 40052 and 40066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40052 and 40066.

How to find the GCF of 40052 and 40066?

We will first find the prime factorization of 40052 and 40066. After we will calculate the factors of 40052 and 40066 and find the biggest common factor number .

Step-1: Prime Factorization of 40052

Prime factors of 40052 are 2, 17, 19, 31. Prime factorization of 40052 in exponential form is:

40052 = 2² × 17¹ × 19¹ × 31¹

Step-2: 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-3: Factors of 40052

List of positive integer factors of 40052 that divides 40052 without a remainder.

1, 2, 4, 17, 19, 31, 34, 38, 62, 68, 76, 124, 323, 527, 589, 646, 1054, 1178, 1292, 2108, 2356, 10013, 20026

Step-4: Factors of 40066

List of positive integer factors of 40066 that divides 40052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40052 and 40066. The biggest common factor number is the GCF number.
So the greatest common factor 40052 and 40066 is 2.

Also check out the Least Common Multiple of 40052 and 40066