What is the Greatest Common Factor of 27064 and 27072?

Greatest common factor (GCF) of 27064 and 27072 is 8.

GCF(27064,27072) = 8

We will now calculate the prime factors of 27064 and 27072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27064 and 27072.

How to find the GCF of 27064 and 27072?

We will first find the prime factorization of 27064 and 27072. After we will calculate the factors of 27064 and 27072 and find the biggest common factor number .

Step-1: Prime Factorization of 27064

Prime factors of 27064 are 2, 17, 199. Prime factorization of 27064 in exponential form is:

27064 = 2³ × 17¹ × 199¹

Step-2: Prime Factorization of 27072

Prime factors of 27072 are 2, 3, 47. Prime factorization of 27072 in exponential form is:

27072 = 2⁶ × 3² × 47¹

Step-3: Factors of 27064

List of positive integer factors of 27064 that divides 27064 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 199, 398, 796, 1592, 3383, 6766, 13532

Step-4: Factors of 27072

List of positive integer factors of 27072 that divides 27064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 64, 72, 94, 96, 141, 144, 188, 192, 282, 288, 376, 423, 564, 576, 752, 846, 1128, 1504, 1692, 2256, 3008, 3384, 4512, 6768, 9024, 13536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27064 and 27072. The biggest common factor number is the GCF number.
So the greatest common factor 27064 and 27072 is 8.

Also check out the Least Common Multiple of 27064 and 27072