What is the Greatest Common Factor of 68172 and 68185?

Greatest common factor (GCF) of 68172 and 68185 is 13.

GCF(68172,68185) = 13

We will now calculate the prime factors of 68172 and 68185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68172 and 68185.

How to find the GCF of 68172 and 68185?

We will first find the prime factorization of 68172 and 68185. After we will calculate the factors of 68172 and 68185 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 68185

Prime factors of 68185 are 5, 13, 1049. Prime factorization of 68185 in exponential form is:

68185 = 5¹ × 13¹ × 1049¹

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 68185

List of positive integer factors of 68185 that divides 68172 without a remainder.

1, 5, 13, 65, 1049, 5245, 13637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68172 and 68185. The biggest common factor number is the GCF number.
So the greatest common factor 68172 and 68185 is 13.

Also check out the Least Common Multiple of 68172 and 68185