What is the Greatest Common Factor of 83272 and 83286?

Greatest common factor (GCF) of 83272 and 83286 is 14.

GCF(83272,83286) = 14

We will now calculate the prime factors of 83272 and 83286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83272 and 83286.

How to find the GCF of 83272 and 83286?

We will first find the prime factorization of 83272 and 83286. After we will calculate the factors of 83272 and 83286 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83286

Prime factors of 83286 are 2, 3, 7, 661. Prime factorization of 83286 in exponential form is:

83286 = 2¹ × 3² × 7¹ × 661¹

Step-3: Factors of 83272

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

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

Step-4: Factors of 83286

List of positive integer factors of 83286 that divides 83272 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 661, 1322, 1983, 3966, 4627, 5949, 9254, 11898, 13881, 27762, 41643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83272 and 83286. The biggest common factor number is the GCF number.
So the greatest common factor 83272 and 83286 is 14.

Also check out the Least Common Multiple of 83272 and 83286