What is the Greatest Common Factor of 39568 and 39584?

Greatest common factor (GCF) of 39568 and 39584 is 16.

GCF(39568,39584) = 16

We will now calculate the prime factors of 39568 and 39584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39568 and 39584.

How to find the GCF of 39568 and 39584?

We will first find the prime factorization of 39568 and 39584. After we will calculate the factors of 39568 and 39584 and find the biggest common factor number .

Step-1: Prime Factorization of 39568

Prime factors of 39568 are 2, 2473. Prime factorization of 39568 in exponential form is:

39568 = 2⁴ × 2473¹

Step-2: Prime Factorization of 39584

Prime factors of 39584 are 2, 1237. Prime factorization of 39584 in exponential form is:

39584 = 2⁵ × 1237¹

Step-3: Factors of 39568

List of positive integer factors of 39568 that divides 39568 without a remainder.

1, 2, 4, 8, 16, 2473, 4946, 9892, 19784

Step-4: Factors of 39584

List of positive integer factors of 39584 that divides 39568 without a remainder.

1, 2, 4, 8, 16, 32, 1237, 2474, 4948, 9896, 19792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39568 and 39584. The biggest common factor number is the GCF number.
So the greatest common factor 39568 and 39584 is 16.

Also check out the Least Common Multiple of 39568 and 39584