What is the Greatest Common Factor of 96804 and 96824?

Greatest common factor (GCF) of 96804 and 96824 is 4.

GCF(96804,96824) = 4

We will now calculate the prime factors of 96804 and 96824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96804 and 96824.

How to find the GCF of 96804 and 96824?

We will first find the prime factorization of 96804 and 96824. After we will calculate the factors of 96804 and 96824 and find the biggest common factor number .

Step-1: Prime Factorization of 96804

Prime factors of 96804 are 2, 3, 2689. Prime factorization of 96804 in exponential form is:

96804 = 2² × 3² × 2689¹

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 96804

List of positive integer factors of 96804 that divides 96804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2689, 5378, 8067, 10756, 16134, 24201, 32268, 48402

Step-4: Factors of 96824

List of positive integer factors of 96824 that divides 96804 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 96804 and 96824. The biggest common factor number is the GCF number.
So the greatest common factor 96804 and 96824 is 4.

Also check out the Least Common Multiple of 96804 and 96824