What is the Greatest Common Factor of 96600 and 96614?

Greatest common factor (GCF) of 96600 and 96614 is 14.

GCF(96600,96614) = 14

We will now calculate the prime factors of 96600 and 96614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96600 and 96614.

How to find the GCF of 96600 and 96614?

We will first find the prime factorization of 96600 and 96614. After we will calculate the factors of 96600 and 96614 and find the biggest common factor number .

Step-1: Prime Factorization of 96600

Prime factors of 96600 are 2, 3, 5, 7, 23. Prime factorization of 96600 in exponential form is:

96600 = 2³ × 3¹ × 5² × 7¹ × 23¹

Step-2: 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-3: Factors of 96600

List of positive integer factors of 96600 that divides 96600 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 23, 24, 25, 28, 30, 35, 40, 42, 46, 50, 56, 60, 69, 70, 75, 84, 92, 100, 105, 115, 120, 138, 140, 150, 161, 168, 175, 184, 200, 210, 230, 276, 280, 300, 322, 345, 350, 420, 460, 483, 525, 552, 575, 600, 644, 690, 700, 805, 840, 920, 966, 1050, 1150, 1288, 1380, 1400, 1610, 1725, 1932, 2100, 2300, 2415, 2760, 3220, 3450, 3864, 4025, 4200, 4600, 4830, 6440, 6900, 8050, 9660, 12075, 13800, 16100, 19320, 24150, 32200, 48300

Step-4: Factors of 96614

List of positive integer factors of 96614 that divides 96600 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96600 and 96614. The biggest common factor number is the GCF number.
So the greatest common factor 96600 and 96614 is 14.

Also check out the Least Common Multiple of 96600 and 96614