What is the Greatest Common Factor of 88869 and 88880?

Greatest common factor (GCF) of 88869 and 88880 is 11.

GCF(88869,88880) = 11

We will now calculate the prime factors of 88869 and 88880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88869 and 88880.

How to find the GCF of 88869 and 88880?

We will first find the prime factorization of 88869 and 88880. After we will calculate the factors of 88869 and 88880 and find the biggest common factor number .

Step-1: Prime Factorization of 88869

Prime factors of 88869 are 3, 11, 2693. Prime factorization of 88869 in exponential form is:

88869 = 3¹ × 11¹ × 2693¹

Step-2: Prime Factorization of 88880

Prime factors of 88880 are 2, 5, 11, 101. Prime factorization of 88880 in exponential form is:

88880 = 2⁴ × 5¹ × 11¹ × 101¹

Step-3: Factors of 88869

List of positive integer factors of 88869 that divides 88869 without a remainder.

1, 3, 11, 33, 2693, 8079, 29623

Step-4: Factors of 88880

List of positive integer factors of 88880 that divides 88869 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 101, 110, 176, 202, 220, 404, 440, 505, 808, 880, 1010, 1111, 1616, 2020, 2222, 4040, 4444, 5555, 8080, 8888, 11110, 17776, 22220, 44440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88869 and 88880. The biggest common factor number is the GCF number.
So the greatest common factor 88869 and 88880 is 11.

Also check out the Least Common Multiple of 88869 and 88880