What is the Greatest Common Factor of 49885 and 49896?

Greatest common factor (GCF) of 49885 and 49896 is 11.

GCF(49885,49896) = 11

We will now calculate the prime factors of 49885 and 49896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49885 and 49896.

How to find the GCF of 49885 and 49896?

We will first find the prime factorization of 49885 and 49896. After we will calculate the factors of 49885 and 49896 and find the biggest common factor number .

Step-1: Prime Factorization of 49885

Prime factors of 49885 are 5, 11, 907. Prime factorization of 49885 in exponential form is:

49885 = 5¹ × 11¹ × 907¹

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 49885

List of positive integer factors of 49885 that divides 49885 without a remainder.

1, 5, 11, 55, 907, 4535, 9977

Step-4: Factors of 49896

List of positive integer factors of 49896 that divides 49885 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 49885 and 49896. The biggest common factor number is the GCF number.
So the greatest common factor 49885 and 49896 is 11.

Also check out the Least Common Multiple of 49885 and 49896