What is the Greatest Common Factor of 51216 and 51229?

Greatest common factor (GCF) of 51216 and 51229 is 1.

GCF(51216,51229) = 1

We will now calculate the prime factors of 51216 and 51229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51216 and 51229.

How to find the GCF of 51216 and 51229?

We will first find the prime factorization of 51216 and 51229. After we will calculate the factors of 51216 and 51229 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 51229

Prime factors of 51229 are 51229. Prime factorization of 51229 in exponential form is:

51229 = 51229¹

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 51229

List of positive integer factors of 51229 that divides 51216 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51216 and 51229. The biggest common factor number is the GCF number.
So the greatest common factor 51216 and 51229 is 1.

Also check out the Least Common Multiple of 51216 and 51229