What is the Greatest Common Factor of 18725 and 18735?

Greatest common factor (GCF) of 18725 and 18735 is 5.

GCF(18725,18735) = 5

We will now calculate the prime factors of 18725 and 18735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18725 and 18735.

How to find the GCF of 18725 and 18735?

We will first find the prime factorization of 18725 and 18735. After we will calculate the factors of 18725 and 18735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18735

Prime factors of 18735 are 3, 5, 1249. Prime factorization of 18735 in exponential form is:

18735 = 3¹ × 5¹ × 1249¹

Step-3: Factors of 18725

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

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

Step-4: Factors of 18735

List of positive integer factors of 18735 that divides 18725 without a remainder.

1, 3, 5, 15, 1249, 3747, 6245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18725 and 18735. The biggest common factor number is the GCF number.
So the greatest common factor 18725 and 18735 is 5.

Also check out the Least Common Multiple of 18725 and 18735