What is the Greatest Common Factor of 4896 and 4914?

Greatest common factor (GCF) of 4896 and 4914 is 18.

GCF(4896,4914) = 18

We will now calculate the prime factors of 4896 and 4914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4896 and 4914.

How to find the GCF of 4896 and 4914?

We will first find the prime factorization of 4896 and 4914. After we will calculate the factors of 4896 and 4914 and find the biggest common factor number .

Step-1: Prime Factorization of 4896

Prime factors of 4896 are 2, 3, 17. Prime factorization of 4896 in exponential form is:

4896 = 2⁵ × 3² × 17¹

Step-2: Prime Factorization of 4914

Prime factors of 4914 are 2, 3, 7, 13. Prime factorization of 4914 in exponential form is:

4914 = 2¹ × 3³ × 7¹ × 13¹

Step-3: Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448

Step-4: Factors of 4914

List of positive integer factors of 4914 that divides 4896 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4896 and 4914. The biggest common factor number is the GCF number.
So the greatest common factor 4896 and 4914 is 18.

Also check out the Least Common Multiple of 4896 and 4914