What is the Greatest Common Factor of 20905 and 20923?

Greatest common factor (GCF) of 20905 and 20923 is 1.

GCF(20905,20923) = 1

We will now calculate the prime factors of 20905 and 20923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20905 and 20923.

How to find the GCF of 20905 and 20923?

We will first find the prime factorization of 20905 and 20923. After we will calculate the factors of 20905 and 20923 and find the biggest common factor number .

Step-1: Prime Factorization of 20905

Prime factors of 20905 are 5, 37, 113. Prime factorization of 20905 in exponential form is:

20905 = 5¹ × 37¹ × 113¹

Step-2: Prime Factorization of 20923

Prime factors of 20923 are 7, 61. Prime factorization of 20923 in exponential form is:

20923 = 7³ × 61¹

Step-3: Factors of 20905

List of positive integer factors of 20905 that divides 20905 without a remainder.

1, 5, 37, 113, 185, 565, 4181

Step-4: Factors of 20923

List of positive integer factors of 20923 that divides 20905 without a remainder.

1, 7, 49, 61, 343, 427, 2989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20905 and 20923. The biggest common factor number is the GCF number.
So the greatest common factor 20905 and 20923 is 1.

Also check out the Least Common Multiple of 20905 and 20923