What is the Greatest Common Factor of 83244 and 83262?

Greatest common factor (GCF) of 83244 and 83262 is 6.

GCF(83244,83262) = 6

We will now calculate the prime factors of 83244 and 83262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83244 and 83262.

How to find the GCF of 83244 and 83262?

We will first find the prime factorization of 83244 and 83262. After we will calculate the factors of 83244 and 83262 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83262

Prime factors of 83262 are 2, 3, 13877. Prime factorization of 83262 in exponential form is:

83262 = 2¹ × 3¹ × 13877¹

Step-3: Factors of 83244

List of positive integer factors of 83244 that divides 83244 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

Step-4: Factors of 83262

List of positive integer factors of 83262 that divides 83244 without a remainder.

1, 2, 3, 6, 13877, 27754, 41631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83244 and 83262. The biggest common factor number is the GCF number.
So the greatest common factor 83244 and 83262 is 6.

Also check out the Least Common Multiple of 83244 and 83262