What is the Greatest Common Factor of 35966 and 35971?

Greatest common factor (GCF) of 35966 and 35971 is 1.

GCF(35966,35971) = 1

We will now calculate the prime factors of 35966 and 35971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35966 and 35971.

How to find the GCF of 35966 and 35971?

We will first find the prime factorization of 35966 and 35971. After we will calculate the factors of 35966 and 35971 and find the biggest common factor number .

Step-1: Prime Factorization of 35966

Prime factors of 35966 are 2, 7, 367. Prime factorization of 35966 in exponential form is:

35966 = 2¹ × 7² × 367¹

Step-2: Prime Factorization of 35971

Prime factors of 35971 are 13, 2767. Prime factorization of 35971 in exponential form is:

35971 = 13¹ × 2767¹

Step-3: Factors of 35966

List of positive integer factors of 35966 that divides 35966 without a remainder.

1, 2, 7, 14, 49, 98, 367, 734, 2569, 5138, 17983

Step-4: Factors of 35971

List of positive integer factors of 35971 that divides 35966 without a remainder.

1, 13, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35966 and 35971. The biggest common factor number is the GCF number.
So the greatest common factor 35966 and 35971 is 1.

Also check out the Least Common Multiple of 35966 and 35971