What is the Greatest Common Factor of 87912 and 87923?

Greatest common factor (GCF) of 87912 and 87923 is 11.

GCF(87912,87923) = 11

We will now calculate the prime factors of 87912 and 87923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87912 and 87923.

How to find the GCF of 87912 and 87923?

We will first find the prime factorization of 87912 and 87923. After we will calculate the factors of 87912 and 87923 and find the biggest common factor number .

Step-1: Prime Factorization of 87912

Prime factors of 87912 are 2, 3, 11, 37. Prime factorization of 87912 in exponential form is:

87912 = 2³ × 3³ × 11¹ × 37¹

Step-2: Prime Factorization of 87923

Prime factors of 87923 are 11, 7993. Prime factorization of 87923 in exponential form is:

87923 = 11¹ × 7993¹

Step-3: Factors of 87912

List of positive integer factors of 87912 that divides 87912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 37, 44, 54, 66, 72, 74, 88, 99, 108, 111, 132, 148, 198, 216, 222, 264, 296, 297, 333, 396, 407, 444, 594, 666, 792, 814, 888, 999, 1188, 1221, 1332, 1628, 1998, 2376, 2442, 2664, 3256, 3663, 3996, 4884, 7326, 7992, 9768, 10989, 14652, 21978, 29304, 43956

Step-4: Factors of 87923

List of positive integer factors of 87923 that divides 87912 without a remainder.

1, 11, 7993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87912 and 87923. The biggest common factor number is the GCF number.
So the greatest common factor 87912 and 87923 is 11.

Also check out the Least Common Multiple of 87912 and 87923