What is the Greatest Common Factor of 49896 and 49908?

Greatest common factor (GCF) of 49896 and 49908 is 12.

GCF(49896,49908) = 12

We will now calculate the prime factors of 49896 and 49908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49896 and 49908.

How to find the GCF of 49896 and 49908?

We will first find the prime factorization of 49896 and 49908. After we will calculate the factors of 49896 and 49908 and find the biggest common factor number .

Step-1: Prime Factorization of 49896

Prime factors of 49896 are 2, 3, 7, 11. Prime factorization of 49896 in exponential form is:

49896 = 2³ × 3⁴ × 7¹ × 11¹

Step-2: Prime Factorization of 49908

Prime factors of 49908 are 2, 3, 4159. Prime factorization of 49908 in exponential form is:

49908 = 2² × 3¹ × 4159¹

Step-3: Factors of 49896

List of positive integer factors of 49896 that divides 49896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 54, 56, 63, 66, 72, 77, 81, 84, 88, 99, 108, 126, 132, 154, 162, 168, 189, 198, 216, 231, 252, 264, 297, 308, 324, 378, 396, 462, 504, 567, 594, 616, 648, 693, 756, 792, 891, 924, 1134, 1188, 1386, 1512, 1782, 1848, 2079, 2268, 2376, 2772, 3564, 4158, 4536, 5544, 6237, 7128, 8316, 12474, 16632, 24948

Step-4: Factors of 49908

List of positive integer factors of 49908 that divides 49896 without a remainder.

1, 2, 3, 4, 6, 12, 4159, 8318, 12477, 16636, 24954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49896 and 49908. The biggest common factor number is the GCF number.
So the greatest common factor 49896 and 49908 is 12.

Also check out the Least Common Multiple of 49896 and 49908