What is the Greatest Common Factor of 68155 and 68172?

Greatest common factor (GCF) of 68155 and 68172 is 1.

GCF(68155,68172) = 1

We will now calculate the prime factors of 68155 and 68172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68155 and 68172.

How to find the GCF of 68155 and 68172?

We will first find the prime factorization of 68155 and 68172. After we will calculate the factors of 68155 and 68172 and find the biggest common factor number .

Step-1: Prime Factorization of 68155

Prime factors of 68155 are 5, 43, 317. Prime factorization of 68155 in exponential form is:

68155 = 5¹ × 43¹ × 317¹

Step-2: 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-3: Factors of 68155

List of positive integer factors of 68155 that divides 68155 without a remainder.

1, 5, 43, 215, 317, 1585, 13631

Step-4: Factors of 68172

List of positive integer factors of 68172 that divides 68155 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68155 and 68172. The biggest common factor number is the GCF number.
So the greatest common factor 68155 and 68172 is 1.

Also check out the Least Common Multiple of 68155 and 68172