What is the Greatest Common Factor of 96824 and 96831?

Greatest common factor (GCF) of 96824 and 96831 is 7.

GCF(96824,96831) = 7

We will now calculate the prime factors of 96824 and 96831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96824 and 96831.

How to find the GCF of 96824 and 96831?

We will first find the prime factorization of 96824 and 96831. After we will calculate the factors of 96824 and 96831 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96831

Prime factors of 96831 are 3, 7, 29, 53. Prime factorization of 96831 in exponential form is:

96831 = 3² × 7¹ × 29¹ × 53¹

Step-3: Factors of 96824

List of positive integer factors of 96824 that divides 96824 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

Step-4: Factors of 96831

List of positive integer factors of 96831 that divides 96824 without a remainder.

1, 3, 7, 9, 21, 29, 53, 63, 87, 159, 203, 261, 371, 477, 609, 1113, 1537, 1827, 3339, 4611, 10759, 13833, 32277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96824 and 96831. The biggest common factor number is the GCF number.
So the greatest common factor 96824 and 96831 is 7.

Also check out the Least Common Multiple of 96824 and 96831