What is the Greatest Common Factor of 51216 and 51227?

Greatest common factor (GCF) of 51216 and 51227 is 11.

GCF(51216,51227) = 11

We will now calculate the prime factors of 51216 and 51227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51216 and 51227.

How to find the GCF of 51216 and 51227?

We will first find the prime factorization of 51216 and 51227. After we will calculate the factors of 51216 and 51227 and find the biggest common factor number .

Step-1: Prime Factorization of 51216

Prime factors of 51216 are 2, 3, 11, 97. Prime factorization of 51216 in exponential form is:

51216 = 2⁴ × 3¹ × 11¹ × 97¹

Step-2: Prime Factorization of 51227

Prime factors of 51227 are 11, 4657. Prime factorization of 51227 in exponential form is:

51227 = 11¹ × 4657¹

Step-3: Factors of 51216

List of positive integer factors of 51216 that divides 51216 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 97, 132, 176, 194, 264, 291, 388, 528, 582, 776, 1067, 1164, 1552, 2134, 2328, 3201, 4268, 4656, 6402, 8536, 12804, 17072, 25608

Step-4: Factors of 51227

List of positive integer factors of 51227 that divides 51216 without a remainder.

1, 11, 4657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51216 and 51227. The biggest common factor number is the GCF number.
So the greatest common factor 51216 and 51227 is 11.

Also check out the Least Common Multiple of 51216 and 51227