What is the Greatest Common Factor of 83252 and 83266?

Greatest common factor (GCF) of 83252 and 83266 is 2.

GCF(83252,83266) = 2

We will now calculate the prime factors of 83252 and 83266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83252 and 83266.

How to find the GCF of 83252 and 83266?

We will first find the prime factorization of 83252 and 83266. After we will calculate the factors of 83252 and 83266 and find the biggest common factor number .

Step-1: Prime Factorization of 83252

Prime factors of 83252 are 2, 13, 1601. Prime factorization of 83252 in exponential form is:

83252 = 2² × 13¹ × 1601¹

Step-2: Prime Factorization of 83266

Prime factors of 83266 are 2, 17, 31, 79. Prime factorization of 83266 in exponential form is:

83266 = 2¹ × 17¹ × 31¹ × 79¹

Step-3: Factors of 83252

List of positive integer factors of 83252 that divides 83252 without a remainder.

1, 2, 4, 13, 26, 52, 1601, 3202, 6404, 20813, 41626

Step-4: Factors of 83266

List of positive integer factors of 83266 that divides 83252 without a remainder.

1, 2, 17, 31, 34, 62, 79, 158, 527, 1054, 1343, 2449, 2686, 4898, 41633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83252 and 83266. The biggest common factor number is the GCF number.
So the greatest common factor 83252 and 83266 is 2.

Also check out the Least Common Multiple of 83252 and 83266