What is the Greatest Common Factor of 32235 and 32249?

Greatest common factor (GCF) of 32235 and 32249 is 7.

GCF(32235,32249) = 7

We will now calculate the prime factors of 32235 and 32249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32235 and 32249.

How to find the GCF of 32235 and 32249?

We will first find the prime factorization of 32235 and 32249. After we will calculate the factors of 32235 and 32249 and find the biggest common factor number .

Step-1: Prime Factorization of 32235

Prime factors of 32235 are 3, 5, 7, 307. Prime factorization of 32235 in exponential form is:

32235 = 3¹ × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 32249

Prime factors of 32249 are 7, 17, 271. Prime factorization of 32249 in exponential form is:

32249 = 7¹ × 17¹ × 271¹

Step-3: Factors of 32235

List of positive integer factors of 32235 that divides 32235 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 307, 921, 1535, 2149, 4605, 6447, 10745

Step-4: Factors of 32249

List of positive integer factors of 32249 that divides 32235 without a remainder.

1, 7, 17, 119, 271, 1897, 4607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32235 and 32249. The biggest common factor number is the GCF number.
So the greatest common factor 32235 and 32249 is 7.

Also check out the Least Common Multiple of 32235 and 32249