What is the Greatest Common Factor of 88280 and 88288?

Greatest common factor (GCF) of 88280 and 88288 is 8.

GCF(88280,88288) = 8

We will now calculate the prime factors of 88280 and 88288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88280 and 88288.

How to find the GCF of 88280 and 88288?

We will first find the prime factorization of 88280 and 88288. After we will calculate the factors of 88280 and 88288 and find the biggest common factor number .

Step-1: Prime Factorization of 88280

Prime factors of 88280 are 2, 5, 2207. Prime factorization of 88280 in exponential form is:

88280 = 2³ × 5¹ × 2207¹

Step-2: Prime Factorization of 88288

Prime factors of 88288 are 2, 31, 89. Prime factorization of 88288 in exponential form is:

88288 = 2⁵ × 31¹ × 89¹

Step-3: Factors of 88280

List of positive integer factors of 88280 that divides 88280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2207, 4414, 8828, 11035, 17656, 22070, 44140

Step-4: Factors of 88288

List of positive integer factors of 88288 that divides 88280 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 89, 124, 178, 248, 356, 496, 712, 992, 1424, 2759, 2848, 5518, 11036, 22072, 44144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88280 and 88288. The biggest common factor number is the GCF number.
So the greatest common factor 88280 and 88288 is 8.

Also check out the Least Common Multiple of 88280 and 88288