What is the Greatest Common Factor of 49896 and 49910?

Greatest common factor (GCF) of 49896 and 49910 is 14.

GCF(49896,49910) = 14

We will now calculate the prime factors of 49896 and 49910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49896 and 49910.

How to find the GCF of 49896 and 49910?

We will first find the prime factorization of 49896 and 49910. After we will calculate the factors of 49896 and 49910 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 49910

Prime factors of 49910 are 2, 5, 7, 23, 31. Prime factorization of 49910 in exponential form is:

49910 = 2¹ × 5¹ × 7¹ × 23¹ × 31¹

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 49910

List of positive integer factors of 49910 that divides 49896 without a remainder.

1, 2, 5, 7, 10, 14, 23, 31, 35, 46, 62, 70, 115, 155, 161, 217, 230, 310, 322, 434, 713, 805, 1085, 1426, 1610, 2170, 3565, 4991, 7130, 9982, 24955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49896 and 49910. The biggest common factor number is the GCF number.
So the greatest common factor 49896 and 49910 is 14.

Also check out the Least Common Multiple of 49896 and 49910