What is the Greatest Common Factor of 32084 and 32097?

Greatest common factor (GCF) of 32084 and 32097 is 13.

GCF(32084,32097) = 13

We will now calculate the prime factors of 32084 and 32097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32084 and 32097.

How to find the GCF of 32084 and 32097?

We will first find the prime factorization of 32084 and 32097. After we will calculate the factors of 32084 and 32097 and find the biggest common factor number .

Step-1: Prime Factorization of 32084

Prime factors of 32084 are 2, 13, 617. Prime factorization of 32084 in exponential form is:

32084 = 2² × 13¹ × 617¹

Step-2: Prime Factorization of 32097

Prime factors of 32097 are 3, 13, 823. Prime factorization of 32097 in exponential form is:

32097 = 3¹ × 13¹ × 823¹

Step-3: Factors of 32084

List of positive integer factors of 32084 that divides 32084 without a remainder.

1, 2, 4, 13, 26, 52, 617, 1234, 2468, 8021, 16042

Step-4: Factors of 32097

List of positive integer factors of 32097 that divides 32084 without a remainder.

1, 3, 13, 39, 823, 2469, 10699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32084 and 32097. The biggest common factor number is the GCF number.
So the greatest common factor 32084 and 32097 is 13.

Also check out the Least Common Multiple of 32084 and 32097