What is the Greatest Common Factor of 20825 and 20837?

Greatest common factor (GCF) of 20825 and 20837 is 1.

GCF(20825,20837) = 1

We will now calculate the prime factors of 20825 and 20837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20825 and 20837.

How to find the GCF of 20825 and 20837?

We will first find the prime factorization of 20825 and 20837. After we will calculate the factors of 20825 and 20837 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 20837

Prime factors of 20837 are 67, 311. Prime factorization of 20837 in exponential form is:

20837 = 67¹ × 311¹

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 20837

List of positive integer factors of 20837 that divides 20825 without a remainder.

1, 67, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20825 and 20837. The biggest common factor number is the GCF number.
So the greatest common factor 20825 and 20837 is 1.

Also check out the Least Common Multiple of 20825 and 20837