What is the Greatest Common Factor of 83237 and 83251?

Greatest common factor (GCF) of 83237 and 83251 is 7.

GCF(83237,83251) = 7

We will now calculate the prime factors of 83237 and 83251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83237 and 83251.

How to find the GCF of 83237 and 83251?

We will first find the prime factorization of 83237 and 83251. After we will calculate the factors of 83237 and 83251 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 83251

Prime factors of 83251 are 7, 1699. Prime factorization of 83251 in exponential form is:

83251 = 7² × 1699¹

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 83251

List of positive integer factors of 83251 that divides 83237 without a remainder.

1, 7, 49, 1699, 11893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83237 and 83251. The biggest common factor number is the GCF number.
So the greatest common factor 83237 and 83251 is 7.

Also check out the Least Common Multiple of 83237 and 83251