What is the Greatest Common Factor of 18132 and 18152?

Greatest common factor (GCF) of 18132 and 18152 is 4.

GCF(18132,18152) = 4

We will now calculate the prime factors of 18132 and 18152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18132 and 18152.

How to find the GCF of 18132 and 18152?

We will first find the prime factorization of 18132 and 18152. After we will calculate the factors of 18132 and 18152 and find the biggest common factor number .

Step-1: Prime Factorization of 18132

Prime factors of 18132 are 2, 3, 1511. Prime factorization of 18132 in exponential form is:

18132 = 2² × 3¹ × 1511¹

Step-2: Prime Factorization of 18152

Prime factors of 18152 are 2, 2269. Prime factorization of 18152 in exponential form is:

18152 = 2³ × 2269¹

Step-3: Factors of 18132

List of positive integer factors of 18132 that divides 18132 without a remainder.

1, 2, 3, 4, 6, 12, 1511, 3022, 4533, 6044, 9066

Step-4: Factors of 18152

List of positive integer factors of 18152 that divides 18132 without a remainder.

1, 2, 4, 8, 2269, 4538, 9076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18132 and 18152. The biggest common factor number is the GCF number.
So the greatest common factor 18132 and 18152 is 4.

Also check out the Least Common Multiple of 18132 and 18152