What is the Greatest Common Factor of 32148 and 32168?

Greatest common factor (GCF) of 32148 and 32168 is 4.

GCF(32148,32168) = 4

We will now calculate the prime factors of 32148 and 32168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32148 and 32168.

How to find the GCF of 32148 and 32168?

We will first find the prime factorization of 32148 and 32168. After we will calculate the factors of 32148 and 32168 and find the biggest common factor number .

Step-1: Prime Factorization of 32148

Prime factors of 32148 are 2, 3, 19, 47. Prime factorization of 32148 in exponential form is:

32148 = 2² × 3² × 19¹ × 47¹

Step-2: Prime Factorization of 32168

Prime factors of 32168 are 2, 4021. Prime factorization of 32168 in exponential form is:

32168 = 2³ × 4021¹

Step-3: Factors of 32148

List of positive integer factors of 32148 that divides 32148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 47, 57, 76, 94, 114, 141, 171, 188, 228, 282, 342, 423, 564, 684, 846, 893, 1692, 1786, 2679, 3572, 5358, 8037, 10716, 16074

Step-4: Factors of 32168

List of positive integer factors of 32168 that divides 32148 without a remainder.

1, 2, 4, 8, 4021, 8042, 16084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32148 and 32168. The biggest common factor number is the GCF number.
So the greatest common factor 32148 and 32168 is 4.

Also check out the Least Common Multiple of 32148 and 32168