What is the Greatest Common Factor of 27216 and 27230?

Greatest common factor (GCF) of 27216 and 27230 is 14.

GCF(27216,27230) = 14

We will now calculate the prime factors of 27216 and 27230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27216 and 27230.

How to find the GCF of 27216 and 27230?

We will first find the prime factorization of 27216 and 27230. After we will calculate the factors of 27216 and 27230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27230

Prime factors of 27230 are 2, 5, 7, 389. Prime factorization of 27230 in exponential form is:

27230 = 2¹ × 5¹ × 7¹ × 389¹

Step-3: Factors of 27216

List of positive integer factors of 27216 that divides 27216 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

Step-4: Factors of 27230

List of positive integer factors of 27230 that divides 27216 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 389, 778, 1945, 2723, 3890, 5446, 13615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27216 and 27230. The biggest common factor number is the GCF number.
So the greatest common factor 27216 and 27230 is 14.

Also check out the Least Common Multiple of 27216 and 27230