What is the Greatest Common Factor of 18712 and 18725?

Greatest common factor (GCF) of 18712 and 18725 is 1.

GCF(18712,18725) = 1

We will now calculate the prime factors of 18712 and 18725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18712 and 18725.

How to find the GCF of 18712 and 18725?

We will first find the prime factorization of 18712 and 18725. After we will calculate the factors of 18712 and 18725 and find the biggest common factor number .

Step-1: Prime Factorization of 18712

Prime factors of 18712 are 2, 2339. Prime factorization of 18712 in exponential form is:

18712 = 2³ × 2339¹

Step-2: Prime Factorization of 18725

Prime factors of 18725 are 5, 7, 107. Prime factorization of 18725 in exponential form is:

18725 = 5² × 7¹ × 107¹

Step-3: Factors of 18712

List of positive integer factors of 18712 that divides 18712 without a remainder.

1, 2, 4, 8, 2339, 4678, 9356

Step-4: Factors of 18725

List of positive integer factors of 18725 that divides 18712 without a remainder.

1, 5, 7, 25, 35, 107, 175, 535, 749, 2675, 3745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18712 and 18725. The biggest common factor number is the GCF number.
So the greatest common factor 18712 and 18725 is 1.

Also check out the Least Common Multiple of 18712 and 18725