What is the Greatest Common Factor of 8614 and 8618?

Greatest common factor (GCF) of 8614 and 8618 is 2.

GCF(8614,8618) = 2

We will now calculate the prime factors of 8614 and 8618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8614 and 8618.

How to find the GCF of 8614 and 8618?

We will first find the prime factorization of 8614 and 8618. After we will calculate the factors of 8614 and 8618 and find the biggest common factor number .

Step-1: Prime Factorization of 8614

Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:

8614 = 2¹ × 59¹ × 73¹

Step-2: Prime Factorization of 8618

Prime factors of 8618 are 2, 31, 139. Prime factorization of 8618 in exponential form is:

8618 = 2¹ × 31¹ × 139¹

Step-3: Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1, 2, 59, 73, 118, 146, 4307

Step-4: Factors of 8618

List of positive integer factors of 8618 that divides 8614 without a remainder.

1, 2, 31, 62, 139, 278, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8614 and 8618. The biggest common factor number is the GCF number.
So the greatest common factor 8614 and 8618 is 2.

Also check out the Least Common Multiple of 8614 and 8618