What is the Greatest Common Factor of 32235 and 32253?

Greatest common factor (GCF) of 32235 and 32253 is 3.

GCF(32235,32253) = 3

We will now calculate the prime factors of 32235 and 32253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32235 and 32253.

How to find the GCF of 32235 and 32253?

We will first find the prime factorization of 32235 and 32253. After we will calculate the factors of 32235 and 32253 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 32253

Prime factors of 32253 are 3, 13, 827. Prime factorization of 32253 in exponential form is:

32253 = 3¹ × 13¹ × 827¹

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 32253

List of positive integer factors of 32253 that divides 32235 without a remainder.

1, 3, 13, 39, 827, 2481, 10751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32235 and 32253. The biggest common factor number is the GCF number.
So the greatest common factor 32235 and 32253 is 3.

Also check out the Least Common Multiple of 32235 and 32253