What is the Greatest Common Factor of 35906 and 35923?

Greatest common factor (GCF) of 35906 and 35923 is 1.

GCF(35906,35923) = 1

We will now calculate the prime factors of 35906 and 35923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35906 and 35923.

How to find the GCF of 35906 and 35923?

We will first find the prime factorization of 35906 and 35923. After we will calculate the factors of 35906 and 35923 and find the biggest common factor number .

Step-1: Prime Factorization of 35906

Prime factors of 35906 are 2, 13, 1381. Prime factorization of 35906 in exponential form is:

35906 = 2¹ × 13¹ × 1381¹

Step-2: Prime Factorization of 35923

Prime factors of 35923 are 35923. Prime factorization of 35923 in exponential form is:

35923 = 35923¹

Step-3: Factors of 35906

List of positive integer factors of 35906 that divides 35906 without a remainder.

1, 2, 13, 26, 1381, 2762, 17953

Step-4: Factors of 35923

List of positive integer factors of 35923 that divides 35906 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35906 and 35923. The biggest common factor number is the GCF number.
So the greatest common factor 35906 and 35923 is 1.

Also check out the Least Common Multiple of 35906 and 35923