What is the Greatest Common Factor of 88872 and 88881?

Greatest common factor (GCF) of 88872 and 88881 is 3.

GCF(88872,88881) = 3

We will now calculate the prime factors of 88872 and 88881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88872 and 88881.

How to find the GCF of 88872 and 88881?

We will first find the prime factorization of 88872 and 88881. After we will calculate the factors of 88872 and 88881 and find the biggest common factor number .

Step-1: Prime Factorization of 88872

Prime factors of 88872 are 2, 3, 7, 23. Prime factorization of 88872 in exponential form is:

88872 = 2³ × 3¹ × 7¹ × 23²

Step-2: Prime Factorization of 88881

Prime factors of 88881 are 3, 13, 43, 53. Prime factorization of 88881 in exponential form is:

88881 = 3¹ × 13¹ × 43¹ × 53¹

Step-3: Factors of 88872

List of positive integer factors of 88872 that divides 88872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 529, 552, 644, 966, 1058, 1288, 1587, 1932, 2116, 3174, 3703, 3864, 4232, 6348, 7406, 11109, 12696, 14812, 22218, 29624, 44436

Step-4: Factors of 88881

List of positive integer factors of 88881 that divides 88872 without a remainder.

1, 3, 13, 39, 43, 53, 129, 159, 559, 689, 1677, 2067, 2279, 6837, 29627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88872 and 88881. The biggest common factor number is the GCF number.
So the greatest common factor 88872 and 88881 is 3.

Also check out the Least Common Multiple of 88872 and 88881