What is the Greatest Common Factor of 27048 and 27064?

Greatest common factor (GCF) of 27048 and 27064 is 8.

GCF(27048,27064) = 8

We will now calculate the prime factors of 27048 and 27064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27048 and 27064.

How to find the GCF of 27048 and 27064?

We will first find the prime factorization of 27048 and 27064. After we will calculate the factors of 27048 and 27064 and find the biggest common factor number .

Step-1: Prime Factorization of 27048

Prime factors of 27048 are 2, 3, 7, 23. Prime factorization of 27048 in exponential form is:

27048 = 2³ × 3¹ × 7² × 23¹

Step-2: 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-3: Factors of 27048

List of positive integer factors of 27048 that divides 27048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 49, 56, 69, 84, 92, 98, 138, 147, 161, 168, 184, 196, 276, 294, 322, 392, 483, 552, 588, 644, 966, 1127, 1176, 1288, 1932, 2254, 3381, 3864, 4508, 6762, 9016, 13524

Step-4: Factors of 27064

List of positive integer factors of 27064 that divides 27048 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27048 and 27064. The biggest common factor number is the GCF number.
So the greatest common factor 27048 and 27064 is 8.

Also check out the Least Common Multiple of 27048 and 27064