What is the Greatest Common Factor of 83240 and 83244?

Greatest common factor (GCF) of 83240 and 83244 is 4.

GCF(83240,83244) = 4

We will now calculate the prime factors of 83240 and 83244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83240 and 83244.

How to find the GCF of 83240 and 83244?

We will first find the prime factorization of 83240 and 83244. After we will calculate the factors of 83240 and 83244 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 83244

Prime factors of 83244 are 2, 3, 7, 991. Prime factorization of 83244 in exponential form is:

83244 = 2² × 3¹ × 7¹ × 991¹

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 83244

List of positive integer factors of 83244 that divides 83240 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 991, 1982, 2973, 3964, 5946, 6937, 11892, 13874, 20811, 27748, 41622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83240 and 83244. The biggest common factor number is the GCF number.
So the greatest common factor 83240 and 83244 is 4.

Also check out the Least Common Multiple of 83240 and 83244