What is the Greatest Common Factor of 40038 and 40052?

Greatest common factor (GCF) of 40038 and 40052 is 2.

GCF(40038,40052) = 2

We will now calculate the prime factors of 40038 and 40052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40038 and 40052.

How to find the GCF of 40038 and 40052?

We will first find the prime factorization of 40038 and 40052. After we will calculate the factors of 40038 and 40052 and find the biggest common factor number .

Step-1: Prime Factorization of 40038

Prime factors of 40038 are 2, 3, 6673. Prime factorization of 40038 in exponential form is:

40038 = 2¹ × 3¹ × 6673¹

Step-2: 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-3: Factors of 40038

List of positive integer factors of 40038 that divides 40038 without a remainder.

1, 2, 3, 6, 6673, 13346, 20019

Step-4: Factors of 40052

List of positive integer factors of 40052 that divides 40038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40038 and 40052. The biggest common factor number is the GCF number.
So the greatest common factor 40038 and 40052 is 2.

Also check out the Least Common Multiple of 40038 and 40052