What is the Greatest Common Factor of 32139 and 32148?

Greatest common factor (GCF) of 32139 and 32148 is 9.

GCF(32139,32148) = 9

We will now calculate the prime factors of 32139 and 32148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32139 and 32148.

How to find the GCF of 32139 and 32148?

We will first find the prime factorization of 32139 and 32148. After we will calculate the factors of 32139 and 32148 and find the biggest common factor number .

Step-1: Prime Factorization of 32139

Prime factors of 32139 are 3, 3571. Prime factorization of 32139 in exponential form is:

32139 = 3² × 3571¹

Step-2: 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-3: Factors of 32139

List of positive integer factors of 32139 that divides 32139 without a remainder.

1, 3, 9, 3571, 10713

Step-4: Factors of 32148

List of positive integer factors of 32148 that divides 32139 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32139 and 32148. The biggest common factor number is the GCF number.
So the greatest common factor 32139 and 32148 is 9.

Also check out the Least Common Multiple of 32139 and 32148