What is the Greatest Common Factor of 8738 and 8758?

Greatest common factor (GCF) of 8738 and 8758 is 2.

GCF(8738,8758) = 2

We will now calculate the prime factors of 8738 and 8758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8738 and 8758.

How to find the GCF of 8738 and 8758?

We will first find the prime factorization of 8738 and 8758. After we will calculate the factors of 8738 and 8758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8758

Prime factors of 8758 are 2, 29, 151. Prime factorization of 8758 in exponential form is:

8758 = 2¹ × 29¹ × 151¹

Step-3: Factors of 8738

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

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

Step-4: Factors of 8758

List of positive integer factors of 8758 that divides 8738 without a remainder.

1, 2, 29, 58, 151, 302, 4379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8738 and 8758. The biggest common factor number is the GCF number.
So the greatest common factor 8738 and 8758 is 2.

Also check out the Least Common Multiple of 8738 and 8758