What is the Greatest Common Factor of 88236 and 88249?

Greatest common factor (GCF) of 88236 and 88249 is 1.

GCF(88236,88249) = 1

We will now calculate the prime factors of 88236 and 88249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88236 and 88249.

How to find the GCF of 88236 and 88249?

We will first find the prime factorization of 88236 and 88249. After we will calculate the factors of 88236 and 88249 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 88249

Prime factors of 88249 are 7, 1801. Prime factorization of 88249 in exponential form is:

88249 = 7² × 1801¹

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 88249

List of positive integer factors of 88249 that divides 88236 without a remainder.

1, 7, 49, 1801, 12607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88236 and 88249. The biggest common factor number is the GCF number.
So the greatest common factor 88236 and 88249 is 1.

Also check out the Least Common Multiple of 88236 and 88249