What is the Greatest Common Factor of 88236 and 88250?

Greatest common factor (GCF) of 88236 and 88250 is 2.

GCF(88236,88250) = 2

We will now calculate the prime factors of 88236 and 88250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88236 and 88250.

How to find the GCF of 88236 and 88250?

We will first find the prime factorization of 88236 and 88250. After we will calculate the factors of 88236 and 88250 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 88250

Prime factors of 88250 are 2, 5, 353. Prime factorization of 88250 in exponential form is:

88250 = 2¹ × 5³ × 353¹

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 88250

List of positive integer factors of 88250 that divides 88236 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 353, 706, 1765, 3530, 8825, 17650, 44125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88236 and 88250. The biggest common factor number is the GCF number.
So the greatest common factor 88236 and 88250 is 2.

Also check out the Least Common Multiple of 88236 and 88250