What is the Greatest Common Factor of 20825 and 20843?

Greatest common factor (GCF) of 20825 and 20843 is 1.

GCF(20825,20843) = 1

We will now calculate the prime factors of 20825 and 20843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20825 and 20843.

How to find the GCF of 20825 and 20843?

We will first find the prime factorization of 20825 and 20843. After we will calculate the factors of 20825 and 20843 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 20843

Prime factors of 20843 are 19, 1097. Prime factorization of 20843 in exponential form is:

20843 = 19¹ × 1097¹

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 20843

List of positive integer factors of 20843 that divides 20825 without a remainder.

1, 19, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20825 and 20843. The biggest common factor number is the GCF number.
So the greatest common factor 20825 and 20843 is 1.

Also check out the Least Common Multiple of 20825 and 20843