What is the Greatest Common Factor of 32972 and 32979?

Greatest common factor (GCF) of 32972 and 32979 is 1.

GCF(32972,32979) = 1

We will now calculate the prime factors of 32972 and 32979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32972 and 32979.

How to find the GCF of 32972 and 32979?

We will first find the prime factorization of 32972 and 32979. After we will calculate the factors of 32972 and 32979 and find the biggest common factor number .

Step-1: Prime Factorization of 32972

Prime factors of 32972 are 2, 8243. Prime factorization of 32972 in exponential form is:

32972 = 2² × 8243¹

Step-2: Prime Factorization of 32979

Prime factors of 32979 are 3, 10993. Prime factorization of 32979 in exponential form is:

32979 = 3¹ × 10993¹

Step-3: Factors of 32972

List of positive integer factors of 32972 that divides 32972 without a remainder.

1, 2, 4, 8243, 16486

Step-4: Factors of 32979

List of positive integer factors of 32979 that divides 32972 without a remainder.

1, 3, 10993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32972 and 32979. The biggest common factor number is the GCF number.
So the greatest common factor 32972 and 32979 is 1.

Also check out the Least Common Multiple of 32972 and 32979