What is the Greatest Common Factor of 27196 and 27216?

Greatest common factor (GCF) of 27196 and 27216 is 4.

GCF(27196,27216) = 4

We will now calculate the prime factors of 27196 and 27216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27196 and 27216.

How to find the GCF of 27196 and 27216?

We will first find the prime factorization of 27196 and 27216. After we will calculate the factors of 27196 and 27216 and find the biggest common factor number .

Step-1: Prime Factorization of 27196

Prime factors of 27196 are 2, 13, 523. Prime factorization of 27196 in exponential form is:

27196 = 2² × 13¹ × 523¹

Step-2: Prime Factorization of 27216

Prime factors of 27216 are 2, 3, 7. Prime factorization of 27216 in exponential form is:

27216 = 2⁴ × 3⁵ × 7¹

Step-3: Factors of 27196

List of positive integer factors of 27196 that divides 27196 without a remainder.

1, 2, 4, 13, 26, 52, 523, 1046, 2092, 6799, 13598

Step-4: Factors of 27216

List of positive integer factors of 27216 that divides 27196 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 243, 252, 324, 336, 378, 432, 486, 504, 567, 648, 756, 972, 1008, 1134, 1296, 1512, 1701, 1944, 2268, 3024, 3402, 3888, 4536, 6804, 9072, 13608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27196 and 27216. The biggest common factor number is the GCF number.
So the greatest common factor 27196 and 27216 is 4.

Also check out the Least Common Multiple of 27196 and 27216