What is the Greatest Common Factor of 36438 and 36446?

Greatest common factor (GCF) of 36438 and 36446 is 2.

GCF(36438,36446) = 2

We will now calculate the prime factors of 36438 and 36446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36438 and 36446.

How to find the GCF of 36438 and 36446?

We will first find the prime factorization of 36438 and 36446. After we will calculate the factors of 36438 and 36446 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 36446

Prime factors of 36446 are 2, 18223. Prime factorization of 36446 in exponential form is:

36446 = 2¹ × 18223¹

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 36446

List of positive integer factors of 36446 that divides 36438 without a remainder.

1, 2, 18223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36438 and 36446. The biggest common factor number is the GCF number.
So the greatest common factor 36438 and 36446 is 2.

Also check out the Least Common Multiple of 36438 and 36446