What is the Greatest Common Factor of 17825 and 17844?

Greatest common factor (GCF) of 17825 and 17844 is 1.

GCF(17825,17844) = 1

We will now calculate the prime factors of 17825 and 17844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17825 and 17844.

How to find the GCF of 17825 and 17844?

We will first find the prime factorization of 17825 and 17844. After we will calculate the factors of 17825 and 17844 and find the biggest common factor number .

Step-1: Prime Factorization of 17825

Prime factors of 17825 are 5, 23, 31. Prime factorization of 17825 in exponential form is:

17825 = 5² × 23¹ × 31¹

Step-2: Prime Factorization of 17844

Prime factors of 17844 are 2, 3, 1487. Prime factorization of 17844 in exponential form is:

17844 = 2² × 3¹ × 1487¹

Step-3: Factors of 17825

List of positive integer factors of 17825 that divides 17825 without a remainder.

1, 5, 23, 25, 31, 115, 155, 575, 713, 775, 3565

Step-4: Factors of 17844

List of positive integer factors of 17844 that divides 17825 without a remainder.

1, 2, 3, 4, 6, 12, 1487, 2974, 4461, 5948, 8922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17825 and 17844. The biggest common factor number is the GCF number.
So the greatest common factor 17825 and 17844 is 1.

Also check out the Least Common Multiple of 17825 and 17844