What is the Greatest Common Factor of 88858 and 88872?

Greatest common factor (GCF) of 88858 and 88872 is 14.

GCF(88858,88872) = 14

We will now calculate the prime factors of 88858 and 88872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88858 and 88872.

How to find the GCF of 88858 and 88872?

We will first find the prime factorization of 88858 and 88872. After we will calculate the factors of 88858 and 88872 and find the biggest common factor number .

Step-1: Prime Factorization of 88858

Prime factors of 88858 are 2, 7, 11, 577. Prime factorization of 88858 in exponential form is:

88858 = 2¹ × 7¹ × 11¹ × 577¹

Step-2: 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-3: Factors of 88858

List of positive integer factors of 88858 that divides 88858 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 577, 1154, 4039, 6347, 8078, 12694, 44429

Step-4: Factors of 88872

List of positive integer factors of 88872 that divides 88858 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88858 and 88872. The biggest common factor number is the GCF number.
So the greatest common factor 88858 and 88872 is 14.

Also check out the Least Common Multiple of 88858 and 88872