What is the Greatest Common Factor of 88217 and 88236?

Greatest common factor (GCF) of 88217 and 88236 is 19.

GCF(88217,88236) = 19

We will now calculate the prime factors of 88217 and 88236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88217 and 88236.

How to find the GCF of 88217 and 88236?

We will first find the prime factorization of 88217 and 88236. After we will calculate the factors of 88217 and 88236 and find the biggest common factor number .

Step-1: Prime Factorization of 88217

Prime factors of 88217 are 19, 4643. Prime factorization of 88217 in exponential form is:

88217 = 19¹ × 4643¹

Step-2: 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-3: Factors of 88217

List of positive integer factors of 88217 that divides 88217 without a remainder.

1, 19, 4643

Step-4: Factors of 88236

List of positive integer factors of 88236 that divides 88217 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88217 and 88236. The biggest common factor number is the GCF number.
So the greatest common factor 88217 and 88236 is 19.

Also check out the Least Common Multiple of 88217 and 88236