What is the Greatest Common Factor of 49568 and 49584?

Greatest common factor (GCF) of 49568 and 49584 is 16.

GCF(49568,49584) = 16

We will now calculate the prime factors of 49568 and 49584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49568 and 49584.

How to find the GCF of 49568 and 49584?

We will first find the prime factorization of 49568 and 49584. After we will calculate the factors of 49568 and 49584 and find the biggest common factor number .

Step-1: Prime Factorization of 49568

Prime factors of 49568 are 2, 1549. Prime factorization of 49568 in exponential form is:

49568 = 2⁵ × 1549¹

Step-2: Prime Factorization of 49584

Prime factors of 49584 are 2, 3, 1033. Prime factorization of 49584 in exponential form is:

49584 = 2⁴ × 3¹ × 1033¹

Step-3: Factors of 49568

List of positive integer factors of 49568 that divides 49568 without a remainder.

1, 2, 4, 8, 16, 32, 1549, 3098, 6196, 12392, 24784

Step-4: Factors of 49584

List of positive integer factors of 49584 that divides 49568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1033, 2066, 3099, 4132, 6198, 8264, 12396, 16528, 24792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49568 and 49584. The biggest common factor number is the GCF number.
So the greatest common factor 49568 and 49584 is 16.

Also check out the Least Common Multiple of 49568 and 49584