What is the Greatest Common Factor of 32980 and 32993?

Greatest common factor (GCF) of 32980 and 32993 is 1.

GCF(32980,32993) = 1

We will now calculate the prime factors of 32980 and 32993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32980 and 32993.

How to find the GCF of 32980 and 32993?

We will first find the prime factorization of 32980 and 32993. After we will calculate the factors of 32980 and 32993 and find the biggest common factor number .

Step-1: Prime Factorization of 32980

Prime factors of 32980 are 2, 5, 17, 97. Prime factorization of 32980 in exponential form is:

32980 = 2² × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 32993

Prime factors of 32993 are 32993. Prime factorization of 32993 in exponential form is:

32993 = 32993¹

Step-3: Factors of 32980

List of positive integer factors of 32980 that divides 32980 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 97, 170, 194, 340, 388, 485, 970, 1649, 1940, 3298, 6596, 8245, 16490

Step-4: Factors of 32993

List of positive integer factors of 32993 that divides 32980 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32980 and 32993. The biggest common factor number is the GCF number.
So the greatest common factor 32980 and 32993 is 1.

Also check out the Least Common Multiple of 32980 and 32993