What is the Greatest Common Factor of 68172 and 68190?

Greatest common factor (GCF) of 68172 and 68190 is 6.

GCF(68172,68190) = 6

We will now calculate the prime factors of 68172 and 68190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68172 and 68190.

How to find the GCF of 68172 and 68190?

We will first find the prime factorization of 68172 and 68190. After we will calculate the factors of 68172 and 68190 and find the biggest common factor number .

Step-1: Prime Factorization of 68172

Prime factors of 68172 are 2, 3, 13, 19, 23. Prime factorization of 68172 in exponential form is:

68172 = 2² × 3¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 68190

Prime factors of 68190 are 2, 3, 5, 2273. Prime factorization of 68190 in exponential form is:

68190 = 2¹ × 3¹ × 5¹ × 2273¹

Step-3: Factors of 68172

List of positive integer factors of 68172 that divides 68172 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 23, 26, 38, 39, 46, 52, 57, 69, 76, 78, 92, 114, 138, 156, 228, 247, 276, 299, 437, 494, 598, 741, 874, 897, 988, 1196, 1311, 1482, 1748, 1794, 2622, 2964, 3588, 5244, 5681, 11362, 17043, 22724, 34086

Step-4: Factors of 68190

List of positive integer factors of 68190 that divides 68172 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2273, 4546, 6819, 11365, 13638, 22730, 34095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68172 and 68190. The biggest common factor number is the GCF number.
So the greatest common factor 68172 and 68190 is 6.

Also check out the Least Common Multiple of 68172 and 68190