What is the Greatest Common Factor of 20825 and 20844?

Greatest common factor (GCF) of 20825 and 20844 is 1.

GCF(20825,20844) = 1

We will now calculate the prime factors of 20825 and 20844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20825 and 20844.

How to find the GCF of 20825 and 20844?

We will first find the prime factorization of 20825 and 20844. After we will calculate the factors of 20825 and 20844 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 20844

Prime factors of 20844 are 2, 3, 193. Prime factorization of 20844 in exponential form is:

20844 = 2² × 3³ × 193¹

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 20844

List of positive integer factors of 20844 that divides 20825 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 5211, 6948, 10422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20825 and 20844. The biggest common factor number is the GCF number.
So the greatest common factor 20825 and 20844 is 1.

Also check out the Least Common Multiple of 20825 and 20844