What is the Greatest Common Factor of 32148 and 32159?

Greatest common factor (GCF) of 32148 and 32159 is 1.

GCF(32148,32159) = 1

We will now calculate the prime factors of 32148 and 32159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32148 and 32159.

How to find the GCF of 32148 and 32159?

We will first find the prime factorization of 32148 and 32159. After we will calculate the factors of 32148 and 32159 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 32159

Prime factors of 32159 are 32159. Prime factorization of 32159 in exponential form is:

32159 = 32159¹

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 32159

List of positive integer factors of 32159 that divides 32148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32148 and 32159. The biggest common factor number is the GCF number.
So the greatest common factor 32148 and 32159 is 1.

Also check out the Least Common Multiple of 32148 and 32159