What is the Greatest Common Factor of 35985 and 35993?

Greatest common factor (GCF) of 35985 and 35993 is 1.

GCF(35985,35993) = 1

We will now calculate the prime factors of 35985 and 35993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35985 and 35993.

How to find the GCF of 35985 and 35993?

We will first find the prime factorization of 35985 and 35993. After we will calculate the factors of 35985 and 35993 and find the biggest common factor number .

Step-1: Prime Factorization of 35985

Prime factors of 35985 are 3, 5, 2399. Prime factorization of 35985 in exponential form is:

35985 = 3¹ × 5¹ × 2399¹

Step-2: Prime Factorization of 35993

Prime factors of 35993 are 35993. Prime factorization of 35993 in exponential form is:

35993 = 35993¹

Step-3: Factors of 35985

List of positive integer factors of 35985 that divides 35985 without a remainder.

1, 3, 5, 15, 2399, 7197, 11995

Step-4: Factors of 35993

List of positive integer factors of 35993 that divides 35985 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35985 and 35993. The biggest common factor number is the GCF number.
So the greatest common factor 35985 and 35993 is 1.

Also check out the Least Common Multiple of 35985 and 35993