What is the Greatest Common Factor of 49648 and 49664?

Greatest common factor (GCF) of 49648 and 49664 is 16.

GCF(49648,49664) = 16

We will now calculate the prime factors of 49648 and 49664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49648 and 49664.

How to find the GCF of 49648 and 49664?

We will first find the prime factorization of 49648 and 49664. After we will calculate the factors of 49648 and 49664 and find the biggest common factor number .

Step-1: Prime Factorization of 49648

Prime factors of 49648 are 2, 29, 107. Prime factorization of 49648 in exponential form is:

49648 = 2⁴ × 29¹ × 107¹

Step-2: Prime Factorization of 49664

Prime factors of 49664 are 2, 97. Prime factorization of 49664 in exponential form is:

49664 = 2⁹ × 97¹

Step-3: Factors of 49648

List of positive integer factors of 49648 that divides 49648 without a remainder.

1, 2, 4, 8, 16, 29, 58, 107, 116, 214, 232, 428, 464, 856, 1712, 3103, 6206, 12412, 24824

Step-4: Factors of 49664

List of positive integer factors of 49664 that divides 49648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 256, 388, 512, 776, 1552, 3104, 6208, 12416, 24832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49648 and 49664. The biggest common factor number is the GCF number.
So the greatest common factor 49648 and 49664 is 16.

Also check out the Least Common Multiple of 49648 and 49664