What is the Greatest Common Factor of 32252 and 32264?

Greatest common factor (GCF) of 32252 and 32264 is 4.

GCF(32252,32264) = 4

We will now calculate the prime factors of 32252 and 32264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32252 and 32264.

How to find the GCF of 32252 and 32264?

We will first find the prime factorization of 32252 and 32264. After we will calculate the factors of 32252 and 32264 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32264

Prime factors of 32264 are 2, 37, 109. Prime factorization of 32264 in exponential form is:

32264 = 2³ × 37¹ × 109¹

Step-3: Factors of 32252

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

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

Step-4: Factors of 32264

List of positive integer factors of 32264 that divides 32252 without a remainder.

1, 2, 4, 8, 37, 74, 109, 148, 218, 296, 436, 872, 4033, 8066, 16132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32252 and 32264. The biggest common factor number is the GCF number.
So the greatest common factor 32252 and 32264 is 4.

Also check out the Least Common Multiple of 32252 and 32264