What is the Greatest Common Factor of 97812 and 97823?

Greatest common factor (GCF) of 97812 and 97823 is 11.

GCF(97812,97823) = 11

We will now calculate the prime factors of 97812 and 97823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97812 and 97823.

How to find the GCF of 97812 and 97823?

We will first find the prime factorization of 97812 and 97823. After we will calculate the factors of 97812 and 97823 and find the biggest common factor number .

Step-1: Prime Factorization of 97812

Prime factors of 97812 are 2, 3, 11, 13, 19. Prime factorization of 97812 in exponential form is:

97812 = 2² × 3² × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 97823

Prime factors of 97823 are 11, 8893. Prime factorization of 97823 in exponential form is:

97823 = 11¹ × 8893¹

Step-3: Factors of 97812

List of positive integer factors of 97812 that divides 97812 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 19, 22, 26, 33, 36, 38, 39, 44, 52, 57, 66, 76, 78, 99, 114, 117, 132, 143, 156, 171, 198, 209, 228, 234, 247, 286, 342, 396, 418, 429, 468, 494, 572, 627, 684, 741, 836, 858, 988, 1254, 1287, 1482, 1716, 1881, 2223, 2508, 2574, 2717, 2964, 3762, 4446, 5148, 5434, 7524, 8151, 8892, 10868, 16302, 24453, 32604, 48906

Step-4: Factors of 97823

List of positive integer factors of 97823 that divides 97812 without a remainder.

1, 11, 8893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97812 and 97823. The biggest common factor number is the GCF number.
So the greatest common factor 97812 and 97823 is 11.

Also check out the Least Common Multiple of 97812 and 97823