What is the Greatest Common Factor of 27184 and 27202?

Greatest common factor (GCF) of 27184 and 27202 is 2.

GCF(27184,27202) = 2

We will now calculate the prime factors of 27184 and 27202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27184 and 27202.

How to find the GCF of 27184 and 27202?

We will first find the prime factorization of 27184 and 27202. After we will calculate the factors of 27184 and 27202 and find the biggest common factor number .

Step-1: Prime Factorization of 27184

Prime factors of 27184 are 2, 1699. Prime factorization of 27184 in exponential form is:

27184 = 2⁴ × 1699¹

Step-2: Prime Factorization of 27202

Prime factors of 27202 are 2, 7, 29, 67. Prime factorization of 27202 in exponential form is:

27202 = 2¹ × 7¹ × 29¹ × 67¹

Step-3: Factors of 27184

List of positive integer factors of 27184 that divides 27184 without a remainder.

1, 2, 4, 8, 16, 1699, 3398, 6796, 13592

Step-4: Factors of 27202

List of positive integer factors of 27202 that divides 27184 without a remainder.

1, 2, 7, 14, 29, 58, 67, 134, 203, 406, 469, 938, 1943, 3886, 13601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27184 and 27202. The biggest common factor number is the GCF number.
So the greatest common factor 27184 and 27202 is 2.

Also check out the Least Common Multiple of 27184 and 27202