What is the Greatest Common Factor of 8877 and 8888?

Greatest common factor (GCF) of 8877 and 8888 is 11.

GCF(8877,8888) = 11

We will now calculate the prime factors of 8877 and 8888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8877 and 8888.

How to find the GCF of 8877 and 8888?

We will first find the prime factorization of 8877 and 8888. After we will calculate the factors of 8877 and 8888 and find the biggest common factor number .

Step-1: Prime Factorization of 8877

Prime factors of 8877 are 3, 11, 269. Prime factorization of 8877 in exponential form is:

8877 = 3¹ × 11¹ × 269¹

Step-2: Prime Factorization of 8888

Prime factors of 8888 are 2, 11, 101. Prime factorization of 8888 in exponential form is:

8888 = 2³ × 11¹ × 101¹

Step-3: Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1, 3, 11, 33, 269, 807, 2959

Step-4: Factors of 8888

List of positive integer factors of 8888 that divides 8877 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8877 and 8888. The biggest common factor number is the GCF number.
So the greatest common factor 8877 and 8888 is 11.

Also check out the Least Common Multiple of 8877 and 8888