What is the Greatest Common Factor of 88880 and 88892?

Greatest common factor (GCF) of 88880 and 88892 is 4.

GCF(88880,88892) = 4

We will now calculate the prime factors of 88880 and 88892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88880 and 88892.

How to find the GCF of 88880 and 88892?

We will first find the prime factorization of 88880 and 88892. After we will calculate the factors of 88880 and 88892 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 88892

Prime factors of 88892 are 2, 71, 313. Prime factorization of 88892 in exponential form is:

88892 = 2² × 71¹ × 313¹

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 88892

List of positive integer factors of 88892 that divides 88880 without a remainder.

1, 2, 4, 71, 142, 284, 313, 626, 1252, 22223, 44446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88880 and 88892. The biggest common factor number is the GCF number.
So the greatest common factor 88880 and 88892 is 4.

Also check out the Least Common Multiple of 88880 and 88892