What is the Greatest Common Factor of 32241 and 32252?

Greatest common factor (GCF) of 32241 and 32252 is 11.

GCF(32241,32252) = 11

We will now calculate the prime factors of 32241 and 32252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32241 and 32252.

How to find the GCF of 32241 and 32252?

We will first find the prime factorization of 32241 and 32252. After we will calculate the factors of 32241 and 32252 and find the biggest common factor number .

Step-1: Prime Factorization of 32241

Prime factors of 32241 are 3, 11, 977. Prime factorization of 32241 in exponential form is:

32241 = 3¹ × 11¹ × 977¹

Step-2: Prime Factorization of 32252

Prime factors of 32252 are 2, 11, 733. Prime factorization of 32252 in exponential form is:

32252 = 2² × 11¹ × 733¹

Step-3: Factors of 32241

List of positive integer factors of 32241 that divides 32241 without a remainder.

1, 3, 11, 33, 977, 2931, 10747

Step-4: Factors of 32252

List of positive integer factors of 32252 that divides 32241 without a remainder.

1, 2, 4, 11, 22, 44, 733, 1466, 2932, 8063, 16126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32241 and 32252. The biggest common factor number is the GCF number.
So the greatest common factor 32241 and 32252 is 11.

Also check out the Least Common Multiple of 32241 and 32252