What is the Greatest Common Factor of 83258 and 83272?

Greatest common factor (GCF) of 83258 and 83272 is 14.

GCF(83258,83272) = 14

We will now calculate the prime factors of 83258 and 83272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83258 and 83272.

How to find the GCF of 83258 and 83272?

We will first find the prime factorization of 83258 and 83272. After we will calculate the factors of 83258 and 83272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83272

Prime factors of 83272 are 2, 7, 1487. Prime factorization of 83272 in exponential form is:

83272 = 2³ × 7¹ × 1487¹

Step-3: Factors of 83258

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

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

Step-4: Factors of 83272

List of positive integer factors of 83272 that divides 83258 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1487, 2974, 5948, 10409, 11896, 20818, 41636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83258 and 83272. The biggest common factor number is the GCF number.
So the greatest common factor 83258 and 83272 is 14.

Also check out the Least Common Multiple of 83258 and 83272