What is the Greatest Common Factor of 96614 and 96634?

Greatest common factor (GCF) of 96614 and 96634 is 2.

GCF(96614,96634) = 2

We will now calculate the prime factors of 96614 and 96634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96614 and 96634.

How to find the GCF of 96614 and 96634?

We will first find the prime factorization of 96614 and 96634. After we will calculate the factors of 96614 and 96634 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 96634

Prime factors of 96634 are 2, 19, 2543. Prime factorization of 96634 in exponential form is:

96634 = 2¹ × 19¹ × 2543¹

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 96634

List of positive integer factors of 96634 that divides 96614 without a remainder.

1, 2, 19, 38, 2543, 5086, 48317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96614 and 96634. The biggest common factor number is the GCF number.
So the greatest common factor 96614 and 96634 is 2.

Also check out the Least Common Multiple of 96614 and 96634