What is the Greatest Common Factor of 32105 and 32123?

Greatest common factor (GCF) of 32105 and 32123 is 1.

GCF(32105,32123) = 1

We will now calculate the prime factors of 32105 and 32123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32105 and 32123.

How to find the GCF of 32105 and 32123?

We will first find the prime factorization of 32105 and 32123. After we will calculate the factors of 32105 and 32123 and find the biggest common factor number .

Step-1: Prime Factorization of 32105

Prime factors of 32105 are 5, 6421. Prime factorization of 32105 in exponential form is:

32105 = 5¹ × 6421¹

Step-2: Prime Factorization of 32123

Prime factors of 32123 are 7, 13, 353. Prime factorization of 32123 in exponential form is:

32123 = 7¹ × 13¹ × 353¹

Step-3: Factors of 32105

List of positive integer factors of 32105 that divides 32105 without a remainder.

1, 5, 6421

Step-4: Factors of 32123

List of positive integer factors of 32123 that divides 32105 without a remainder.

1, 7, 13, 91, 353, 2471, 4589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32105 and 32123. The biggest common factor number is the GCF number.
So the greatest common factor 32105 and 32123 is 1.

Also check out the Least Common Multiple of 32105 and 32123