What is the Greatest Common Factor of 8725 and 8738?

Greatest common factor (GCF) of 8725 and 8738 is 1.

GCF(8725,8738) = 1

We will now calculate the prime factors of 8725 and 8738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8725 and 8738.

How to find the GCF of 8725 and 8738?

We will first find the prime factorization of 8725 and 8738. After we will calculate the factors of 8725 and 8738 and find the biggest common factor number .

Step-1: Prime Factorization of 8725

Prime factors of 8725 are 5, 349. Prime factorization of 8725 in exponential form is:

8725 = 5² × 349¹

Step-2: Prime Factorization of 8738

Prime factors of 8738 are 2, 17, 257. Prime factorization of 8738 in exponential form is:

8738 = 2¹ × 17¹ × 257¹

Step-3: Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1, 5, 25, 349, 1745

Step-4: Factors of 8738

List of positive integer factors of 8738 that divides 8725 without a remainder.

1, 2, 17, 34, 257, 514, 4369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8725 and 8738. The biggest common factor number is the GCF number.
So the greatest common factor 8725 and 8738 is 1.

Also check out the Least Common Multiple of 8725 and 8738