What is the Greatest Common Factor of 83148 and 83161?

Greatest common factor (GCF) of 83148 and 83161 is 13.

GCF(83148,83161) = 13

We will now calculate the prime factors of 83148 and 83161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83148 and 83161.

How to find the GCF of 83148 and 83161?

We will first find the prime factorization of 83148 and 83161. After we will calculate the factors of 83148 and 83161 and find the biggest common factor number .

Step-1: Prime Factorization of 83148

Prime factors of 83148 are 2, 3, 13, 41. Prime factorization of 83148 in exponential form is:

83148 = 2² × 3¹ × 13² × 41¹

Step-2: Prime Factorization of 83161

Prime factors of 83161 are 13, 6397. Prime factorization of 83161 in exponential form is:

83161 = 13¹ × 6397¹

Step-3: Factors of 83148

List of positive integer factors of 83148 that divides 83148 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 169, 246, 338, 492, 507, 533, 676, 1014, 1066, 1599, 2028, 2132, 3198, 6396, 6929, 13858, 20787, 27716, 41574

Step-4: Factors of 83161

List of positive integer factors of 83161 that divides 83148 without a remainder.

1, 13, 6397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83148 and 83161. The biggest common factor number is the GCF number.
So the greatest common factor 83148 and 83161 is 13.

Also check out the Least Common Multiple of 83148 and 83161