What is the Greatest Common Factor of 35997 and 36009?

Greatest common factor (GCF) of 35997 and 36009 is 3.

GCF(35997,36009) = 3

We will now calculate the prime factors of 35997 and 36009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35997 and 36009.

How to find the GCF of 35997 and 36009?

We will first find the prime factorization of 35997 and 36009. After we will calculate the factors of 35997 and 36009 and find the biggest common factor number .

Step-1: Prime Factorization of 35997

Prime factors of 35997 are 3, 13, 71. Prime factorization of 35997 in exponential form is:

35997 = 3¹ × 13² × 71¹

Step-2: Prime Factorization of 36009

Prime factors of 36009 are 3, 4001. Prime factorization of 36009 in exponential form is:

36009 = 3² × 4001¹

Step-3: Factors of 35997

List of positive integer factors of 35997 that divides 35997 without a remainder.

1, 3, 13, 39, 71, 169, 213, 507, 923, 2769, 11999

Step-4: Factors of 36009

List of positive integer factors of 36009 that divides 35997 without a remainder.

1, 3, 9, 4001, 12003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35997 and 36009. The biggest common factor number is the GCF number.
So the greatest common factor 35997 and 36009 is 3.

Also check out the Least Common Multiple of 35997 and 36009