What is the Greatest Common Factor of 51198 and 51213?

Greatest common factor (GCF) of 51198 and 51213 is 3.

GCF(51198,51213) = 3

We will now calculate the prime factors of 51198 and 51213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51198 and 51213.

How to find the GCF of 51198 and 51213?

We will first find the prime factorization of 51198 and 51213. After we will calculate the factors of 51198 and 51213 and find the biggest common factor number .

Step-1: Prime Factorization of 51198

Prime factors of 51198 are 2, 3, 7, 23, 53. Prime factorization of 51198 in exponential form is:

51198 = 2¹ × 3¹ × 7¹ × 23¹ × 53¹

Step-2: Prime Factorization of 51213

Prime factors of 51213 are 3, 43, 397. Prime factorization of 51213 in exponential form is:

51213 = 3¹ × 43¹ × 397¹

Step-3: Factors of 51198

List of positive integer factors of 51198 that divides 51198 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 53, 69, 106, 138, 159, 161, 318, 322, 371, 483, 742, 966, 1113, 1219, 2226, 2438, 3657, 7314, 8533, 17066, 25599

Step-4: Factors of 51213

List of positive integer factors of 51213 that divides 51198 without a remainder.

1, 3, 43, 129, 397, 1191, 17071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51198 and 51213. The biggest common factor number is the GCF number.
So the greatest common factor 51198 and 51213 is 3.

Also check out the Least Common Multiple of 51198 and 51213