What is the Greatest Common Factor of 36438 and 36452?

Greatest common factor (GCF) of 36438 and 36452 is 2.

GCF(36438,36452) = 2

We will now calculate the prime factors of 36438 and 36452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36438 and 36452.

How to find the GCF of 36438 and 36452?

We will first find the prime factorization of 36438 and 36452. After we will calculate the factors of 36438 and 36452 and find the biggest common factor number .

Step-1: Prime Factorization of 36438

Prime factors of 36438 are 2, 3, 6073. Prime factorization of 36438 in exponential form is:

36438 = 2¹ × 3¹ × 6073¹

Step-2: Prime Factorization of 36452

Prime factors of 36452 are 2, 13, 701. Prime factorization of 36452 in exponential form is:

36452 = 2² × 13¹ × 701¹

Step-3: Factors of 36438

List of positive integer factors of 36438 that divides 36438 without a remainder.

1, 2, 3, 6, 6073, 12146, 18219

Step-4: Factors of 36452

List of positive integer factors of 36452 that divides 36438 without a remainder.

1, 2, 4, 13, 26, 52, 701, 1402, 2804, 9113, 18226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36438 and 36452. The biggest common factor number is the GCF number.
So the greatest common factor 36438 and 36452 is 2.

Also check out the Least Common Multiple of 36438 and 36452