What is the Greatest Common Factor of 20905 and 20924?

Greatest common factor (GCF) of 20905 and 20924 is 1.

GCF(20905,20924) = 1

We will now calculate the prime factors of 20905 and 20924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20905 and 20924.

How to find the GCF of 20905 and 20924?

We will first find the prime factorization of 20905 and 20924. After we will calculate the factors of 20905 and 20924 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 20924

Prime factors of 20924 are 2, 5231. Prime factorization of 20924 in exponential form is:

20924 = 2² × 5231¹

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 20924

List of positive integer factors of 20924 that divides 20905 without a remainder.

1, 2, 4, 5231, 10462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20905 and 20924. The biggest common factor number is the GCF number.
So the greatest common factor 20905 and 20924 is 1.

Also check out the Least Common Multiple of 20905 and 20924