What is the Greatest Common Factor of 83240 and 83252?

Greatest common factor (GCF) of 83240 and 83252 is 4.

GCF(83240,83252) = 4

We will now calculate the prime factors of 83240 and 83252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83240 and 83252.

How to find the GCF of 83240 and 83252?

We will first find the prime factorization of 83240 and 83252. After we will calculate the factors of 83240 and 83252 and find the biggest common factor number .

Step-1: Prime Factorization of 83240

Prime factors of 83240 are 2, 5, 2081. Prime factorization of 83240 in exponential form is:

83240 = 2³ × 5¹ × 2081¹

Step-2: 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-3: Factors of 83240

List of positive integer factors of 83240 that divides 83240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2081, 4162, 8324, 10405, 16648, 20810, 41620

Step-4: Factors of 83252

List of positive integer factors of 83252 that divides 83240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83240 and 83252. The biggest common factor number is the GCF number.
So the greatest common factor 83240 and 83252 is 4.

Also check out the Least Common Multiple of 83240 and 83252