What is the Greatest Common Factor of 27034 and 27048?

Greatest common factor (GCF) of 27034 and 27048 is 14.

GCF(27034,27048) = 14

We will now calculate the prime factors of 27034 and 27048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27034 and 27048.

How to find the GCF of 27034 and 27048?

We will first find the prime factorization of 27034 and 27048. After we will calculate the factors of 27034 and 27048 and find the biggest common factor number .

Step-1: Prime Factorization of 27034

Prime factors of 27034 are 2, 7, 1931. Prime factorization of 27034 in exponential form is:

27034 = 2¹ × 7¹ × 1931¹

Step-2: 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-3: Factors of 27034

List of positive integer factors of 27034 that divides 27034 without a remainder.

1, 2, 7, 14, 1931, 3862, 13517

Step-4: Factors of 27048

List of positive integer factors of 27048 that divides 27034 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27034 and 27048. The biggest common factor number is the GCF number.
So the greatest common factor 27034 and 27048 is 14.

Also check out the Least Common Multiple of 27034 and 27048