What is the Greatest Common Factor of 82238 and 82251?

Greatest common factor (GCF) of 82238 and 82251 is 13.

GCF(82238,82251) = 13

We will now calculate the prime factors of 82238 and 82251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82238 and 82251.

How to find the GCF of 82238 and 82251?

We will first find the prime factorization of 82238 and 82251. After we will calculate the factors of 82238 and 82251 and find the biggest common factor number .

Step-1: Prime Factorization of 82238

Prime factors of 82238 are 2, 13, 3163. Prime factorization of 82238 in exponential form is:

82238 = 2¹ × 13¹ × 3163¹

Step-2: Prime Factorization of 82251

Prime factors of 82251 are 3, 13, 19, 37. Prime factorization of 82251 in exponential form is:

82251 = 3² × 13¹ × 19¹ × 37¹

Step-3: Factors of 82238

List of positive integer factors of 82238 that divides 82238 without a remainder.

1, 2, 13, 26, 3163, 6326, 41119

Step-4: Factors of 82251

List of positive integer factors of 82251 that divides 82238 without a remainder.

1, 3, 9, 13, 19, 37, 39, 57, 111, 117, 171, 247, 333, 481, 703, 741, 1443, 2109, 2223, 4329, 6327, 9139, 27417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82238 and 82251. The biggest common factor number is the GCF number.
So the greatest common factor 82238 and 82251 is 13.

Also check out the Least Common Multiple of 82238 and 82251