What is the Greatest Common Factor of 32983 and 32998?

Greatest common factor (GCF) of 32983 and 32998 is 1.

GCF(32983,32998) = 1

We will now calculate the prime factors of 32983 and 32998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32983 and 32998.

How to find the GCF of 32983 and 32998?

We will first find the prime factorization of 32983 and 32998. After we will calculate the factors of 32983 and 32998 and find the biggest common factor number .

Step-1: Prime Factorization of 32983

Prime factors of 32983 are 32983. Prime factorization of 32983 in exponential form is:

32983 = 32983¹

Step-2: Prime Factorization of 32998

Prime factors of 32998 are 2, 7, 2357. Prime factorization of 32998 in exponential form is:

32998 = 2¹ × 7¹ × 2357¹

Step-3: Factors of 32983

List of positive integer factors of 32983 that divides 32983 without a remainder.

Step-4: Factors of 32998

List of positive integer factors of 32998 that divides 32983 without a remainder.

1, 2, 7, 14, 2357, 4714, 16499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32983 and 32998. The biggest common factor number is the GCF number.
So the greatest common factor 32983 and 32998 is 1.

Also check out the Least Common Multiple of 32983 and 32998