What is the Greatest Common Factor of 34572 and 34576?

Greatest common factor (GCF) of 34572 and 34576 is 4.

GCF(34572,34576) = 4

We will now calculate the prime factors of 34572 and 34576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34572 and 34576.

How to find the GCF of 34572 and 34576?

We will first find the prime factorization of 34572 and 34576. After we will calculate the factors of 34572 and 34576 and find the biggest common factor number .

Step-1: Prime Factorization of 34572

Prime factors of 34572 are 2, 3, 43, 67. Prime factorization of 34572 in exponential form is:

34572 = 2² × 3¹ × 43¹ × 67¹

Step-2: Prime Factorization of 34576

Prime factors of 34576 are 2, 2161. Prime factorization of 34576 in exponential form is:

34576 = 2⁴ × 2161¹

Step-3: Factors of 34572

List of positive integer factors of 34572 that divides 34572 without a remainder.

1, 2, 3, 4, 6, 12, 43, 67, 86, 129, 134, 172, 201, 258, 268, 402, 516, 804, 2881, 5762, 8643, 11524, 17286

Step-4: Factors of 34576

List of positive integer factors of 34576 that divides 34572 without a remainder.

1, 2, 4, 8, 16, 2161, 4322, 8644, 17288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34572 and 34576. The biggest common factor number is the GCF number.
So the greatest common factor 34572 and 34576 is 4.

Also check out the Least Common Multiple of 34572 and 34576