What is the Greatest Common Factor of 49728 and 49736?

Greatest common factor (GCF) of 49728 and 49736 is 8.

GCF(49728,49736) = 8

We will now calculate the prime factors of 49728 and 49736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49728 and 49736.

How to find the GCF of 49728 and 49736?

We will first find the prime factorization of 49728 and 49736. After we will calculate the factors of 49728 and 49736 and find the biggest common factor number .

Step-1: Prime Factorization of 49728

Prime factors of 49728 are 2, 3, 7, 37. Prime factorization of 49728 in exponential form is:

49728 = 2⁶ × 3¹ × 7¹ × 37¹

Step-2: Prime Factorization of 49736

Prime factors of 49736 are 2, 6217. Prime factorization of 49736 in exponential form is:

49736 = 2³ × 6217¹

Step-3: Factors of 49728

List of positive integer factors of 49728 that divides 49728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 64, 74, 84, 96, 111, 112, 148, 168, 192, 222, 224, 259, 296, 336, 444, 448, 518, 592, 672, 777, 888, 1036, 1184, 1344, 1554, 1776, 2072, 2368, 3108, 3552, 4144, 6216, 7104, 8288, 12432, 16576, 24864

Step-4: Factors of 49736

List of positive integer factors of 49736 that divides 49728 without a remainder.

1, 2, 4, 8, 6217, 12434, 24868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49728 and 49736. The biggest common factor number is the GCF number.
So the greatest common factor 49728 and 49736 is 8.

Also check out the Least Common Multiple of 49728 and 49736