What is the Greatest Common Factor of 96614 and 96624?

Greatest common factor (GCF) of 96614 and 96624 is 2.

GCF(96614,96624) = 2

We will now calculate the prime factors of 96614 and 96624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96614 and 96624.

How to find the GCF of 96614 and 96624?

We will first find the prime factorization of 96614 and 96624. After we will calculate the factors of 96614 and 96624 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 96624

Prime factors of 96624 are 2, 3, 11, 61. Prime factorization of 96624 in exponential form is:

96624 = 2⁴ × 3² × 11¹ × 61¹

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 96624

List of positive integer factors of 96624 that divides 96614 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 61, 66, 72, 88, 99, 122, 132, 144, 176, 183, 198, 244, 264, 366, 396, 488, 528, 549, 671, 732, 792, 976, 1098, 1342, 1464, 1584, 2013, 2196, 2684, 2928, 4026, 4392, 5368, 6039, 8052, 8784, 10736, 12078, 16104, 24156, 32208, 48312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96614 and 96624. The biggest common factor number is the GCF number.
So the greatest common factor 96614 and 96624 is 2.

Also check out the Least Common Multiple of 96614 and 96624