What is the Greatest Common Factor of 8730 and 8738?

Greatest common factor (GCF) of 8730 and 8738 is 2.

GCF(8730,8738) = 2

We will now calculate the prime factors of 8730 and 8738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8730 and 8738.

How to find the GCF of 8730 and 8738?

We will first find the prime factorization of 8730 and 8738. After we will calculate the factors of 8730 and 8738 and find the biggest common factor number .

Step-1: Prime Factorization of 8730

Prime factors of 8730 are 2, 3, 5, 97. Prime factorization of 8730 in exponential form is:

8730 = 2¹ × 3² × 5¹ × 97¹

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 8730

List of positive integer factors of 8730 that divides 8730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365

Step-4: Factors of 8738

List of positive integer factors of 8738 that divides 8730 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8730 and 8738. The biggest common factor number is the GCF number.
So the greatest common factor 8730 and 8738 is 2.

Also check out the Least Common Multiple of 8730 and 8738