What is the Greatest Common Factor of 32981 and 32999?

Greatest common factor (GCF) of 32981 and 32999 is 1.

GCF(32981,32999) = 1

We will now calculate the prime factors of 32981 and 32999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32981 and 32999.

How to find the GCF of 32981 and 32999?

We will first find the prime factorization of 32981 and 32999. After we will calculate the factors of 32981 and 32999 and find the biggest common factor number .

Step-1: Prime Factorization of 32981

Prime factors of 32981 are 13, 43, 59. Prime factorization of 32981 in exponential form is:

32981 = 13¹ × 43¹ × 59¹

Step-2: Prime Factorization of 32999

Prime factors of 32999 are 32999. Prime factorization of 32999 in exponential form is:

32999 = 32999¹

Step-3: Factors of 32981

List of positive integer factors of 32981 that divides 32981 without a remainder.

1, 13, 43, 59, 559, 767, 2537

Step-4: Factors of 32999

List of positive integer factors of 32999 that divides 32981 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32981 and 32999. The biggest common factor number is the GCF number.
So the greatest common factor 32981 and 32999 is 1.

Also check out the Least Common Multiple of 32981 and 32999