What is the Greatest Common Factor of 88236 and 88255?

Greatest common factor (GCF) of 88236 and 88255 is 19.

GCF(88236,88255) = 19

We will now calculate the prime factors of 88236 and 88255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88236 and 88255.

How to find the GCF of 88236 and 88255?

We will first find the prime factorization of 88236 and 88255. After we will calculate the factors of 88236 and 88255 and find the biggest common factor number .

Step-1: Prime Factorization of 88236

Prime factors of 88236 are 2, 3, 19, 43. Prime factorization of 88236 in exponential form is:

88236 = 2² × 3³ × 19¹ × 43¹

Step-2: Prime Factorization of 88255

Prime factors of 88255 are 5, 19, 929. Prime factorization of 88255 in exponential form is:

88255 = 5¹ × 19¹ × 929¹

Step-3: Factors of 88236

List of positive integer factors of 88236 that divides 88236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 43, 54, 57, 76, 86, 108, 114, 129, 171, 172, 228, 258, 342, 387, 513, 516, 684, 774, 817, 1026, 1161, 1548, 1634, 2052, 2322, 2451, 3268, 4644, 4902, 7353, 9804, 14706, 22059, 29412, 44118

Step-4: Factors of 88255

List of positive integer factors of 88255 that divides 88236 without a remainder.

1, 5, 19, 95, 929, 4645, 17651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88236 and 88255. The biggest common factor number is the GCF number.
So the greatest common factor 88236 and 88255 is 19.

Also check out the Least Common Multiple of 88236 and 88255