What is the Greatest Common Factor of 88225 and 88236?

Greatest common factor (GCF) of 88225 and 88236 is 1.

GCF(88225,88236) = 1

We will now calculate the prime factors of 88225 and 88236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88225 and 88236.

How to find the GCF of 88225 and 88236?

We will first find the prime factorization of 88225 and 88236. After we will calculate the factors of 88225 and 88236 and find the biggest common factor number .

Step-1: Prime Factorization of 88225

Prime factors of 88225 are 5, 3529. Prime factorization of 88225 in exponential form is:

88225 = 5² × 3529¹

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 88225

List of positive integer factors of 88225 that divides 88225 without a remainder.

1, 5, 25, 3529, 17645

Step-4: Factors of 88236

List of positive integer factors of 88236 that divides 88225 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 88225 and 88236. The biggest common factor number is the GCF number.
So the greatest common factor 88225 and 88236 is 1.

Also check out the Least Common Multiple of 88225 and 88236