What is the Greatest Common Factor of 42906 and 42923?

Greatest common factor (GCF) of 42906 and 42923 is 1.

GCF(42906,42923) = 1

We will now calculate the prime factors of 42906 and 42923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42906 and 42923.

How to find the GCF of 42906 and 42923?

We will first find the prime factorization of 42906 and 42923. After we will calculate the factors of 42906 and 42923 and find the biggest common factor number .

Step-1: Prime Factorization of 42906

Prime factors of 42906 are 2, 3, 7151. Prime factorization of 42906 in exponential form is:

42906 = 2¹ × 3¹ × 7151¹

Step-2: Prime Factorization of 42923

Prime factors of 42923 are 42923. Prime factorization of 42923 in exponential form is:

42923 = 42923¹

Step-3: Factors of 42906

List of positive integer factors of 42906 that divides 42906 without a remainder.

1, 2, 3, 6, 7151, 14302, 21453

Step-4: Factors of 42923

List of positive integer factors of 42923 that divides 42906 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42906 and 42923. The biggest common factor number is the GCF number.
So the greatest common factor 42906 and 42923 is 1.

Also check out the Least Common Multiple of 42906 and 42923