What is the Greatest Common Factor of 96614 and 96618?

Greatest common factor (GCF) of 96614 and 96618 is 2.

GCF(96614,96618) = 2

We will now calculate the prime factors of 96614 and 96618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96614 and 96618.

How to find the GCF of 96614 and 96618?

We will first find the prime factorization of 96614 and 96618. After we will calculate the factors of 96614 and 96618 and find the biggest common factor number .

Step-1: Prime Factorization of 96614

Prime factors of 96614 are 2, 7, 67, 103. Prime factorization of 96614 in exponential form is:

96614 = 2¹ × 7¹ × 67¹ × 103¹

Step-2: Prime Factorization of 96618

Prime factors of 96618 are 2, 3, 16103. Prime factorization of 96618 in exponential form is:

96618 = 2¹ × 3¹ × 16103¹

Step-3: Factors of 96614

List of positive integer factors of 96614 that divides 96614 without a remainder.

1, 2, 7, 14, 67, 103, 134, 206, 469, 721, 938, 1442, 6901, 13802, 48307

Step-4: Factors of 96618

List of positive integer factors of 96618 that divides 96614 without a remainder.

1, 2, 3, 6, 16103, 32206, 48309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96614 and 96618. The biggest common factor number is the GCF number.
So the greatest common factor 96614 and 96618 is 2.

Also check out the Least Common Multiple of 96614 and 96618