What is the Greatest Common Factor of 40052 and 40069?

Greatest common factor (GCF) of 40052 and 40069 is 17.

GCF(40052,40069) = 17

We will now calculate the prime factors of 40052 and 40069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40052 and 40069.

How to find the GCF of 40052 and 40069?

We will first find the prime factorization of 40052 and 40069. After we will calculate the factors of 40052 and 40069 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 40069

Prime factors of 40069 are 17, 2357. Prime factorization of 40069 in exponential form is:

40069 = 17¹ × 2357¹

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 40069

List of positive integer factors of 40069 that divides 40052 without a remainder.

1, 17, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40052 and 40069. The biggest common factor number is the GCF number.
So the greatest common factor 40052 and 40069 is 17.

Also check out the Least Common Multiple of 40052 and 40069