What is the Greatest Common Factor of 11714 and 11725?

Greatest common factor (GCF) of 11714 and 11725 is 1.

GCF(11714,11725) = 1

We will now calculate the prime factors of 11714 and 11725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11714 and 11725.

How to find the GCF of 11714 and 11725?

We will first find the prime factorization of 11714 and 11725. After we will calculate the factors of 11714 and 11725 and find the biggest common factor number .

Step-1: Prime Factorization of 11714

Prime factors of 11714 are 2, 5857. Prime factorization of 11714 in exponential form is:

11714 = 2¹ × 5857¹

Step-2: Prime Factorization of 11725

Prime factors of 11725 are 5, 7, 67. Prime factorization of 11725 in exponential form is:

11725 = 5² × 7¹ × 67¹

Step-3: Factors of 11714

List of positive integer factors of 11714 that divides 11714 without a remainder.

1, 2, 5857

Step-4: Factors of 11725

List of positive integer factors of 11725 that divides 11714 without a remainder.

1, 5, 7, 25, 35, 67, 175, 335, 469, 1675, 2345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11714 and 11725. The biggest common factor number is the GCF number.
So the greatest common factor 11714 and 11725 is 1.

Also check out the Least Common Multiple of 11714 and 11725