What is the Greatest Common Factor of 51204 and 51221?

Greatest common factor (GCF) of 51204 and 51221 is 17.

GCF(51204,51221) = 17

We will now calculate the prime factors of 51204 and 51221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51204 and 51221.

How to find the GCF of 51204 and 51221?

We will first find the prime factorization of 51204 and 51221. After we will calculate the factors of 51204 and 51221 and find the biggest common factor number .

Step-1: Prime Factorization of 51204

Prime factors of 51204 are 2, 3, 17, 251. Prime factorization of 51204 in exponential form is:

51204 = 2² × 3¹ × 17¹ × 251¹

Step-2: Prime Factorization of 51221

Prime factors of 51221 are 17, 23, 131. Prime factorization of 51221 in exponential form is:

51221 = 17¹ × 23¹ × 131¹

Step-3: Factors of 51204

List of positive integer factors of 51204 that divides 51204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 251, 502, 753, 1004, 1506, 3012, 4267, 8534, 12801, 17068, 25602

Step-4: Factors of 51221

List of positive integer factors of 51221 that divides 51204 without a remainder.

1, 17, 23, 131, 391, 2227, 3013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51204 and 51221. The biggest common factor number is the GCF number.
So the greatest common factor 51204 and 51221 is 17.

Also check out the Least Common Multiple of 51204 and 51221