What is the Greatest Common Factor of 83237 and 83248?

Greatest common factor (GCF) of 83237 and 83248 is 11.

GCF(83237,83248) = 11

We will now calculate the prime factors of 83237 and 83248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83237 and 83248.

How to find the GCF of 83237 and 83248?

We will first find the prime factorization of 83237 and 83248. After we will calculate the factors of 83237 and 83248 and find the biggest common factor number .

Step-1: Prime Factorization of 83237

Prime factors of 83237 are 7, 11, 23, 47. Prime factorization of 83237 in exponential form is:

83237 = 7¹ × 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 83248

Prime factors of 83248 are 2, 11, 43. Prime factorization of 83248 in exponential form is:

83248 = 2⁴ × 11² × 43¹

Step-3: Factors of 83237

List of positive integer factors of 83237 that divides 83237 without a remainder.

1, 7, 11, 23, 47, 77, 161, 253, 329, 517, 1081, 1771, 3619, 7567, 11891

Step-4: Factors of 83248

List of positive integer factors of 83248 that divides 83237 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 121, 172, 176, 242, 344, 473, 484, 688, 946, 968, 1892, 1936, 3784, 5203, 7568, 10406, 20812, 41624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83237 and 83248. The biggest common factor number is the GCF number.
So the greatest common factor 83237 and 83248 is 11.

Also check out the Least Common Multiple of 83237 and 83248