What is the Greatest Common Factor of 17814 and 17825?

Greatest common factor (GCF) of 17814 and 17825 is 1.

GCF(17814,17825) = 1

We will now calculate the prime factors of 17814 and 17825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17814 and 17825.

How to find the GCF of 17814 and 17825?

We will first find the prime factorization of 17814 and 17825. After we will calculate the factors of 17814 and 17825 and find the biggest common factor number .

Step-1: Prime Factorization of 17814

Prime factors of 17814 are 2, 3, 2969. Prime factorization of 17814 in exponential form is:

17814 = 2¹ × 3¹ × 2969¹

Step-2: 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-3: Factors of 17814

List of positive integer factors of 17814 that divides 17814 without a remainder.

1, 2, 3, 6, 2969, 5938, 8907

Step-4: Factors of 17825

List of positive integer factors of 17825 that divides 17814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17814 and 17825. The biggest common factor number is the GCF number.
So the greatest common factor 17814 and 17825 is 1.

Also check out the Least Common Multiple of 17814 and 17825