What is the Greatest Common Factor of 88880 and 88884?

Greatest common factor (GCF) of 88880 and 88884 is 4.

GCF(88880,88884) = 4

We will now calculate the prime factors of 88880 and 88884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88880 and 88884.

How to find the GCF of 88880 and 88884?

We will first find the prime factorization of 88880 and 88884. After we will calculate the factors of 88880 and 88884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88884

Prime factors of 88884 are 2, 3, 823. Prime factorization of 88884 in exponential form is:

88884 = 2² × 3³ × 823¹

Step-3: Factors of 88880

List of positive integer factors of 88880 that divides 88880 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

Step-4: Factors of 88884

List of positive integer factors of 88884 that divides 88880 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 823, 1646, 2469, 3292, 4938, 7407, 9876, 14814, 22221, 29628, 44442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88880 and 88884. The biggest common factor number is the GCF number.
So the greatest common factor 88880 and 88884 is 4.

Also check out the Least Common Multiple of 88880 and 88884