What is the Greatest Common Factor of 90155 and 90168?

Greatest common factor (GCF) of 90155 and 90168 is 13.

GCF(90155,90168) = 13

We will now calculate the prime factors of 90155 and 90168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90155 and 90168.

How to find the GCF of 90155 and 90168?

We will first find the prime factorization of 90155 and 90168. After we will calculate the factors of 90155 and 90168 and find the biggest common factor number .

Step-1: Prime Factorization of 90155

Prime factors of 90155 are 5, 13, 19, 73. Prime factorization of 90155 in exponential form is:

90155 = 5¹ × 13¹ × 19¹ × 73¹

Step-2: Prime Factorization of 90168

Prime factors of 90168 are 2, 3, 13, 17. Prime factorization of 90168 in exponential form is:

90168 = 2³ × 3¹ × 13¹ × 17²

Step-3: Factors of 90155

List of positive integer factors of 90155 that divides 90155 without a remainder.

1, 5, 13, 19, 65, 73, 95, 247, 365, 949, 1235, 1387, 4745, 6935, 18031

Step-4: Factors of 90168

List of positive integer factors of 90168 that divides 90155 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 289, 312, 408, 442, 578, 663, 867, 884, 1156, 1326, 1734, 1768, 2312, 2652, 3468, 3757, 5304, 6936, 7514, 11271, 15028, 22542, 30056, 45084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90155 and 90168. The biggest common factor number is the GCF number.
So the greatest common factor 90155 and 90168 is 13.

Also check out the Least Common Multiple of 90155 and 90168