What is the Greatest Common Factor of 40252 and 40258?

Greatest common factor (GCF) of 40252 and 40258 is 2.

GCF(40252,40258) = 2

We will now calculate the prime factors of 40252 and 40258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40252 and 40258.

How to find the GCF of 40252 and 40258?

We will first find the prime factorization of 40252 and 40258. After we will calculate the factors of 40252 and 40258 and find the biggest common factor number .

Step-1: Prime Factorization of 40252

Prime factors of 40252 are 2, 29, 347. Prime factorization of 40252 in exponential form is:

40252 = 2² × 29¹ × 347¹

Step-2: Prime Factorization of 40258

Prime factors of 40258 are 2, 20129. Prime factorization of 40258 in exponential form is:

40258 = 2¹ × 20129¹

Step-3: Factors of 40252

List of positive integer factors of 40252 that divides 40252 without a remainder.

1, 2, 4, 29, 58, 116, 347, 694, 1388, 10063, 20126

Step-4: Factors of 40258

List of positive integer factors of 40258 that divides 40252 without a remainder.

1, 2, 20129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40252 and 40258. The biggest common factor number is the GCF number.
So the greatest common factor 40252 and 40258 is 2.

Also check out the Least Common Multiple of 40252 and 40258