What is the Greatest Common Factor of 83225 and 83237?

Greatest common factor (GCF) of 83225 and 83237 is 1.

GCF(83225,83237) = 1

We will now calculate the prime factors of 83225 and 83237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83225 and 83237.

How to find the GCF of 83225 and 83237?

We will first find the prime factorization of 83225 and 83237. After we will calculate the factors of 83225 and 83237 and find the biggest common factor number .

Step-1: Prime Factorization of 83225

Prime factors of 83225 are 5, 3329. Prime factorization of 83225 in exponential form is:

83225 = 5² × 3329¹

Step-2: 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-3: Factors of 83225

List of positive integer factors of 83225 that divides 83225 without a remainder.

1, 5, 25, 3329, 16645

Step-4: Factors of 83237

List of positive integer factors of 83237 that divides 83225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83225 and 83237. The biggest common factor number is the GCF number.
So the greatest common factor 83225 and 83237 is 1.

Also check out the Least Common Multiple of 83225 and 83237