What is the Greatest Common Factor of 81184 and 81204?

Greatest common factor (GCF) of 81184 and 81204 is 4.

GCF(81184,81204) = 4

We will now calculate the prime factors of 81184 and 81204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81184 and 81204.

How to find the GCF of 81184 and 81204?

We will first find the prime factorization of 81184 and 81204. After we will calculate the factors of 81184 and 81204 and find the biggest common factor number .

Step-1: Prime Factorization of 81184

Prime factors of 81184 are 2, 43, 59. Prime factorization of 81184 in exponential form is:

81184 = 2⁵ × 43¹ × 59¹

Step-2: Prime Factorization of 81204

Prime factors of 81204 are 2, 3, 67, 101. Prime factorization of 81204 in exponential form is:

81204 = 2² × 3¹ × 67¹ × 101¹

Step-3: Factors of 81184

List of positive integer factors of 81184 that divides 81184 without a remainder.

1, 2, 4, 8, 16, 32, 43, 59, 86, 118, 172, 236, 344, 472, 688, 944, 1376, 1888, 2537, 5074, 10148, 20296, 40592

Step-4: Factors of 81204

List of positive integer factors of 81204 that divides 81184 without a remainder.

1, 2, 3, 4, 6, 12, 67, 101, 134, 201, 202, 268, 303, 402, 404, 606, 804, 1212, 6767, 13534, 20301, 27068, 40602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81184 and 81204. The biggest common factor number is the GCF number.
So the greatest common factor 81184 and 81204 is 4.

Also check out the Least Common Multiple of 81184 and 81204