What is the Greatest Common Factor of 32132 and 32152?

Greatest common factor (GCF) of 32132 and 32152 is 4.

GCF(32132,32152) = 4

We will now calculate the prime factors of 32132 and 32152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32132 and 32152.

How to find the GCF of 32132 and 32152?

We will first find the prime factorization of 32132 and 32152. After we will calculate the factors of 32132 and 32152 and find the biggest common factor number .

Step-1: Prime Factorization of 32132

Prime factors of 32132 are 2, 29, 277. Prime factorization of 32132 in exponential form is:

32132 = 2² × 29¹ × 277¹

Step-2: Prime Factorization of 32152

Prime factors of 32152 are 2, 4019. Prime factorization of 32152 in exponential form is:

32152 = 2³ × 4019¹

Step-3: Factors of 32132

List of positive integer factors of 32132 that divides 32132 without a remainder.

1, 2, 4, 29, 58, 116, 277, 554, 1108, 8033, 16066

Step-4: Factors of 32152

List of positive integer factors of 32152 that divides 32132 without a remainder.

1, 2, 4, 8, 4019, 8038, 16076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32132 and 32152. The biggest common factor number is the GCF number.
So the greatest common factor 32132 and 32152 is 4.

Also check out the Least Common Multiple of 32132 and 32152