What is the Greatest Common Factor of 51198 and 51212?

Greatest common factor (GCF) of 51198 and 51212 is 14.

GCF(51198,51212) = 14

We will now calculate the prime factors of 51198 and 51212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51198 and 51212.

How to find the GCF of 51198 and 51212?

We will first find the prime factorization of 51198 and 51212. After we will calculate the factors of 51198 and 51212 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 51212

Prime factors of 51212 are 2, 7, 31, 59. Prime factorization of 51212 in exponential form is:

51212 = 2² × 7¹ × 31¹ × 59¹

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 51212

List of positive integer factors of 51212 that divides 51198 without a remainder.

1, 2, 4, 7, 14, 28, 31, 59, 62, 118, 124, 217, 236, 413, 434, 826, 868, 1652, 1829, 3658, 7316, 12803, 25606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51198 and 51212. The biggest common factor number is the GCF number.
So the greatest common factor 51198 and 51212 is 14.

Also check out the Least Common Multiple of 51198 and 51212