What is the Greatest Common Factor of 49882 and 49896?

Greatest common factor (GCF) of 49882 and 49896 is 14.

GCF(49882,49896) = 14

We will now calculate the prime factors of 49882 and 49896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49882 and 49896.

How to find the GCF of 49882 and 49896?

We will first find the prime factorization of 49882 and 49896. After we will calculate the factors of 49882 and 49896 and find the biggest common factor number .

Step-1: Prime Factorization of 49882

Prime factors of 49882 are 2, 7, 509. Prime factorization of 49882 in exponential form is:

49882 = 2¹ × 7² × 509¹

Step-2: 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-3: Factors of 49882

List of positive integer factors of 49882 that divides 49882 without a remainder.

1, 2, 7, 14, 49, 98, 509, 1018, 3563, 7126, 24941

Step-4: Factors of 49896

List of positive integer factors of 49896 that divides 49882 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49882 and 49896. The biggest common factor number is the GCF number.
So the greatest common factor 49882 and 49896 is 14.

Also check out the Least Common Multiple of 49882 and 49896