What is the Greatest Common Factor of 49812 and 49824?

Greatest common factor (GCF) of 49812 and 49824 is 12.

GCF(49812,49824) = 12

We will now calculate the prime factors of 49812 and 49824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49812 and 49824.

How to find the GCF of 49812 and 49824?

We will first find the prime factorization of 49812 and 49824. After we will calculate the factors of 49812 and 49824 and find the biggest common factor number .

Step-1: Prime Factorization of 49812

Prime factors of 49812 are 2, 3, 7, 593. Prime factorization of 49812 in exponential form is:

49812 = 2² × 3¹ × 7¹ × 593¹

Step-2: Prime Factorization of 49824

Prime factors of 49824 are 2, 3, 173. Prime factorization of 49824 in exponential form is:

49824 = 2⁵ × 3² × 173¹

Step-3: Factors of 49812

List of positive integer factors of 49812 that divides 49812 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 593, 1186, 1779, 2372, 3558, 4151, 7116, 8302, 12453, 16604, 24906

Step-4: Factors of 49824

List of positive integer factors of 49824 that divides 49812 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 173, 288, 346, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 5536, 6228, 8304, 12456, 16608, 24912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49812 and 49824. The biggest common factor number is the GCF number.
So the greatest common factor 49812 and 49824 is 12.

Also check out the Least Common Multiple of 49812 and 49824