What is the Greatest Common Factor of 35997 and 36003?

Greatest common factor (GCF) of 35997 and 36003 is 3.

GCF(35997,36003) = 3

We will now calculate the prime factors of 35997 and 36003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35997 and 36003.

How to find the GCF of 35997 and 36003?

We will first find the prime factorization of 35997 and 36003. After we will calculate the factors of 35997 and 36003 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 36003

Prime factors of 36003 are 3, 11, 1091. Prime factorization of 36003 in exponential form is:

36003 = 3¹ × 11¹ × 1091¹

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 36003

List of positive integer factors of 36003 that divides 35997 without a remainder.

1, 3, 11, 33, 1091, 3273, 12001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35997 and 36003. The biggest common factor number is the GCF number.
So the greatest common factor 35997 and 36003 is 3.

Also check out the Least Common Multiple of 35997 and 36003