What is the Greatest Common Factor of 83244 and 83258?

Greatest common factor (GCF) of 83244 and 83258 is 14.

GCF(83244,83258) = 14

We will now calculate the prime factors of 83244 and 83258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83244 and 83258.

How to find the GCF of 83244 and 83258?

We will first find the prime factorization of 83244 and 83258. After we will calculate the factors of 83244 and 83258 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 83258

Prime factors of 83258 are 2, 7, 19, 313. Prime factorization of 83258 in exponential form is:

83258 = 2¹ × 7¹ × 19¹ × 313¹

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 83258

List of positive integer factors of 83258 that divides 83244 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 313, 626, 2191, 4382, 5947, 11894, 41629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83244 and 83258. The biggest common factor number is the GCF number.
So the greatest common factor 83244 and 83258 is 14.

Also check out the Least Common Multiple of 83244 and 83258