What is the Greatest Common Factor of 88280 and 88296?

Greatest common factor (GCF) of 88280 and 88296 is 8.

GCF(88280,88296) = 8

We will now calculate the prime factors of 88280 and 88296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88280 and 88296.

How to find the GCF of 88280 and 88296?

We will first find the prime factorization of 88280 and 88296. After we will calculate the factors of 88280 and 88296 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 88296

Prime factors of 88296 are 2, 3, 13, 283. Prime factorization of 88296 in exponential form is:

88296 = 2³ × 3¹ × 13¹ × 283¹

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 88296

List of positive integer factors of 88296 that divides 88280 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 283, 312, 566, 849, 1132, 1698, 2264, 3396, 3679, 6792, 7358, 11037, 14716, 22074, 29432, 44148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88280 and 88296. The biggest common factor number is the GCF number.
So the greatest common factor 88280 and 88296 is 8.

Also check out the Least Common Multiple of 88280 and 88296