What is the Greatest Common Factor of 49664 and 49678?

Greatest common factor (GCF) of 49664 and 49678 is 2.

GCF(49664,49678) = 2

We will now calculate the prime factors of 49664 and 49678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49664 and 49678.

How to find the GCF of 49664 and 49678?

We will first find the prime factorization of 49664 and 49678. After we will calculate the factors of 49664 and 49678 and find the biggest common factor number .

Step-1: Prime Factorization of 49664

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

49664 = 2⁹ × 97¹

Step-2: Prime Factorization of 49678

Prime factors of 49678 are 2, 59, 421. Prime factorization of 49678 in exponential form is:

49678 = 2¹ × 59¹ × 421¹

Step-3: Factors of 49664

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

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

Step-4: Factors of 49678

List of positive integer factors of 49678 that divides 49664 without a remainder.

1, 2, 59, 118, 421, 842, 24839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49664 and 49678. The biggest common factor number is the GCF number.
So the greatest common factor 49664 and 49678 is 2.

Also check out the Least Common Multiple of 49664 and 49678