What is the Greatest Common Factor of 35973 and 35983?

Greatest common factor (GCF) of 35973 and 35983 is 1.

GCF(35973,35983) = 1

We will now calculate the prime factors of 35973 and 35983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35973 and 35983.

How to find the GCF of 35973 and 35983?

We will first find the prime factorization of 35973 and 35983. After we will calculate the factors of 35973 and 35983 and find the biggest common factor number .

Step-1: Prime Factorization of 35973

Prime factors of 35973 are 3, 7, 571. Prime factorization of 35973 in exponential form is:

35973 = 3² × 7¹ × 571¹

Step-2: Prime Factorization of 35983

Prime factors of 35983 are 35983. Prime factorization of 35983 in exponential form is:

35983 = 35983¹

Step-3: Factors of 35973

List of positive integer factors of 35973 that divides 35973 without a remainder.

1, 3, 7, 9, 21, 63, 571, 1713, 3997, 5139, 11991

Step-4: Factors of 35983

List of positive integer factors of 35983 that divides 35973 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35973 and 35983. The biggest common factor number is the GCF number.
So the greatest common factor 35973 and 35983 is 1.

Also check out the Least Common Multiple of 35973 and 35983