What is the Greatest Common Factor of 34432 and 34436?

Greatest common factor (GCF) of 34432 and 34436 is 4.

GCF(34432,34436) = 4

We will now calculate the prime factors of 34432 and 34436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34432 and 34436.

How to find the GCF of 34432 and 34436?

We will first find the prime factorization of 34432 and 34436. After we will calculate the factors of 34432 and 34436 and find the biggest common factor number .

Step-1: Prime Factorization of 34432

Prime factors of 34432 are 2, 269. Prime factorization of 34432 in exponential form is:

34432 = 2⁷ × 269¹

Step-2: Prime Factorization of 34436

Prime factors of 34436 are 2, 8609. Prime factorization of 34436 in exponential form is:

34436 = 2² × 8609¹

Step-3: Factors of 34432

List of positive integer factors of 34432 that divides 34432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 269, 538, 1076, 2152, 4304, 8608, 17216

Step-4: Factors of 34436

List of positive integer factors of 34436 that divides 34432 without a remainder.

1, 2, 4, 8609, 17218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34432 and 34436. The biggest common factor number is the GCF number.
So the greatest common factor 34432 and 34436 is 4.

Also check out the Least Common Multiple of 34432 and 34436