What is the Greatest Common Factor of 68172 and 68181?

Greatest common factor (GCF) of 68172 and 68181 is 3.

GCF(68172,68181) = 3

We will now calculate the prime factors of 68172 and 68181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68172 and 68181.

How to find the GCF of 68172 and 68181?

We will first find the prime factorization of 68172 and 68181. After we will calculate the factors of 68172 and 68181 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 68181

Prime factors of 68181 are 3, 22727. Prime factorization of 68181 in exponential form is:

68181 = 3¹ × 22727¹

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 68181

List of positive integer factors of 68181 that divides 68172 without a remainder.

1, 3, 22727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68172 and 68181. The biggest common factor number is the GCF number.
So the greatest common factor 68172 and 68181 is 3.

Also check out the Least Common Multiple of 68172 and 68181