What is the Greatest Common Factor of 20825 and 20831?

Greatest common factor (GCF) of 20825 and 20831 is 1.

GCF(20825,20831) = 1

We will now calculate the prime factors of 20825 and 20831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20825 and 20831.

How to find the GCF of 20825 and 20831?

We will first find the prime factorization of 20825 and 20831. After we will calculate the factors of 20825 and 20831 and find the biggest common factor number .

Step-1: Prime Factorization of 20825

Prime factors of 20825 are 5, 7, 17. Prime factorization of 20825 in exponential form is:

20825 = 5² × 7² × 17¹

Step-2: Prime Factorization of 20831

Prime factors of 20831 are 37, 563. Prime factorization of 20831 in exponential form is:

20831 = 37¹ × 563¹

Step-3: Factors of 20825

List of positive integer factors of 20825 that divides 20825 without a remainder.

1, 5, 7, 17, 25, 35, 49, 85, 119, 175, 245, 425, 595, 833, 1225, 2975, 4165

Step-4: Factors of 20831

List of positive integer factors of 20831 that divides 20825 without a remainder.

1, 37, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20825 and 20831. The biggest common factor number is the GCF number.
So the greatest common factor 20825 and 20831 is 1.

Also check out the Least Common Multiple of 20825 and 20831