What is the Greatest Common Factor of 16225 and 16236?

Greatest common factor (GCF) of 16225 and 16236 is 11.

GCF(16225,16236) = 11

We will now calculate the prime factors of 16225 and 16236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16225 and 16236.

How to find the GCF of 16225 and 16236?

We will first find the prime factorization of 16225 and 16236. After we will calculate the factors of 16225 and 16236 and find the biggest common factor number .

Step-1: Prime Factorization of 16225

Prime factors of 16225 are 5, 11, 59. Prime factorization of 16225 in exponential form is:

16225 = 5² × 11¹ × 59¹

Step-2: Prime Factorization of 16236

Prime factors of 16236 are 2, 3, 11, 41. Prime factorization of 16236 in exponential form is:

16236 = 2² × 3² × 11¹ × 41¹

Step-3: Factors of 16225

List of positive integer factors of 16225 that divides 16225 without a remainder.

1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245

Step-4: Factors of 16236

List of positive integer factors of 16236 that divides 16225 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 41, 44, 66, 82, 99, 123, 132, 164, 198, 246, 369, 396, 451, 492, 738, 902, 1353, 1476, 1804, 2706, 4059, 5412, 8118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16225 and 16236. The biggest common factor number is the GCF number.
So the greatest common factor 16225 and 16236 is 11.

Also check out the Least Common Multiple of 16225 and 16236