What is the Greatest Common Factor of 96810 and 96824?

Greatest common factor (GCF) of 96810 and 96824 is 14.

GCF(96810,96824) = 14

We will now calculate the prime factors of 96810 and 96824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96810 and 96824.

How to find the GCF of 96810 and 96824?

We will first find the prime factorization of 96810 and 96824. After we will calculate the factors of 96810 and 96824 and find the biggest common factor number .

Step-1: Prime Factorization of 96810

Prime factors of 96810 are 2, 3, 5, 7, 461. Prime factorization of 96810 in exponential form is:

96810 = 2¹ × 3¹ × 5¹ × 7¹ × 461¹

Step-2: Prime Factorization of 96824

Prime factors of 96824 are 2, 7, 13, 19. Prime factorization of 96824 in exponential form is:

96824 = 2³ × 7² × 13¹ × 19¹

Step-3: Factors of 96810

List of positive integer factors of 96810 that divides 96810 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 461, 922, 1383, 2305, 2766, 3227, 4610, 6454, 6915, 9681, 13830, 16135, 19362, 32270, 48405

Step-4: Factors of 96824

List of positive integer factors of 96824 that divides 96810 without a remainder.

1, 2, 4, 7, 8, 13, 14, 19, 26, 28, 38, 49, 52, 56, 76, 91, 98, 104, 133, 152, 182, 196, 247, 266, 364, 392, 494, 532, 637, 728, 931, 988, 1064, 1274, 1729, 1862, 1976, 2548, 3458, 3724, 5096, 6916, 7448, 12103, 13832, 24206, 48412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96810 and 96824. The biggest common factor number is the GCF number.
So the greatest common factor 96810 and 96824 is 14.

Also check out the Least Common Multiple of 96810 and 96824