What is the Greatest Common Factor of 68198 and 68211?

Greatest common factor (GCF) of 68198 and 68211 is 13.

GCF(68198,68211) = 13

We will now calculate the prime factors of 68198 and 68211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68198 and 68211.

How to find the GCF of 68198 and 68211?

We will first find the prime factorization of 68198 and 68211. After we will calculate the factors of 68198 and 68211 and find the biggest common factor number .

Step-1: Prime Factorization of 68198

Prime factors of 68198 are 2, 13, 43, 61. Prime factorization of 68198 in exponential form is:

68198 = 2¹ × 13¹ × 43¹ × 61¹

Step-2: Prime Factorization of 68211

Prime factors of 68211 are 3, 11, 13, 53. Prime factorization of 68211 in exponential form is:

68211 = 3² × 11¹ × 13¹ × 53¹

Step-3: Factors of 68198

List of positive integer factors of 68198 that divides 68198 without a remainder.

1, 2, 13, 26, 43, 61, 86, 122, 559, 793, 1118, 1586, 2623, 5246, 34099

Step-4: Factors of 68211

List of positive integer factors of 68211 that divides 68198 without a remainder.

1, 3, 9, 11, 13, 33, 39, 53, 99, 117, 143, 159, 429, 477, 583, 689, 1287, 1749, 2067, 5247, 6201, 7579, 22737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68198 and 68211. The biggest common factor number is the GCF number.
So the greatest common factor 68198 and 68211 is 13.

Also check out the Least Common Multiple of 68198 and 68211