What is the Greatest Common Factor of 40052 and 40072?

Greatest common factor (GCF) of 40052 and 40072 is 4.

GCF(40052,40072) = 4

We will now calculate the prime factors of 40052 and 40072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40052 and 40072.

How to find the GCF of 40052 and 40072?

We will first find the prime factorization of 40052 and 40072. After we will calculate the factors of 40052 and 40072 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 40072

Prime factors of 40072 are 2, 5009. Prime factorization of 40072 in exponential form is:

40072 = 2³ × 5009¹

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 40072

List of positive integer factors of 40072 that divides 40052 without a remainder.

1, 2, 4, 8, 5009, 10018, 20036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40052 and 40072. The biggest common factor number is the GCF number.
So the greatest common factor 40052 and 40072 is 4.

Also check out the Least Common Multiple of 40052 and 40072