What is the Greatest Common Factor of 11184 and 11202?

Greatest common factor (GCF) of 11184 and 11202 is 6.

GCF(11184,11202) = 6

We will now calculate the prime factors of 11184 and 11202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11184 and 11202.

How to find the GCF of 11184 and 11202?

We will first find the prime factorization of 11184 and 11202. After we will calculate the factors of 11184 and 11202 and find the biggest common factor number .

Step-1: Prime Factorization of 11184

Prime factors of 11184 are 2, 3, 233. Prime factorization of 11184 in exponential form is:

11184 = 2⁴ × 3¹ × 233¹

Step-2: Prime Factorization of 11202

Prime factors of 11202 are 2, 3, 1867. Prime factorization of 11202 in exponential form is:

11202 = 2¹ × 3¹ × 1867¹

Step-3: Factors of 11184

List of positive integer factors of 11184 that divides 11184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592

Step-4: Factors of 11202

List of positive integer factors of 11202 that divides 11184 without a remainder.

1, 2, 3, 6, 1867, 3734, 5601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11184 and 11202. The biggest common factor number is the GCF number.
So the greatest common factor 11184 and 11202 is 6.

Also check out the Least Common Multiple of 11184 and 11202