What is the Greatest Common Factor of 51888 and 51906?

Greatest common factor (GCF) of 51888 and 51906 is 6.

GCF(51888,51906) = 6

We will now calculate the prime factors of 51888 and 51906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51888 and 51906.

How to find the GCF of 51888 and 51906?

We will first find the prime factorization of 51888 and 51906. After we will calculate the factors of 51888 and 51906 and find the biggest common factor number .

Step-1: Prime Factorization of 51888

Prime factors of 51888 are 2, 3, 23, 47. Prime factorization of 51888 in exponential form is:

51888 = 2⁴ × 3¹ × 23¹ × 47¹

Step-2: Prime Factorization of 51906

Prime factors of 51906 are 2, 3, 41, 211. Prime factorization of 51906 in exponential form is:

51906 = 2¹ × 3¹ × 41¹ × 211¹

Step-3: Factors of 51888

List of positive integer factors of 51888 that divides 51888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 47, 48, 69, 92, 94, 138, 141, 184, 188, 276, 282, 368, 376, 552, 564, 752, 1081, 1104, 1128, 2162, 2256, 3243, 4324, 6486, 8648, 12972, 17296, 25944

Step-4: Factors of 51906

List of positive integer factors of 51906 that divides 51888 without a remainder.

1, 2, 3, 6, 41, 82, 123, 211, 246, 422, 633, 1266, 8651, 17302, 25953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51888 and 51906. The biggest common factor number is the GCF number.
So the greatest common factor 51888 and 51906 is 6.

Also check out the Least Common Multiple of 51888 and 51906