What is the Greatest Common Factor of 27024 and 27035?

Greatest common factor (GCF) of 27024 and 27035 is 1.

GCF(27024,27035) = 1

We will now calculate the prime factors of 27024 and 27035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27024 and 27035.

How to find the GCF of 27024 and 27035?

We will first find the prime factorization of 27024 and 27035. After we will calculate the factors of 27024 and 27035 and find the biggest common factor number .

Step-1: Prime Factorization of 27024

Prime factors of 27024 are 2, 3, 563. Prime factorization of 27024 in exponential form is:

27024 = 2⁴ × 3¹ × 563¹

Step-2: Prime Factorization of 27035

Prime factors of 27035 are 5, 5407. Prime factorization of 27035 in exponential form is:

27035 = 5¹ × 5407¹

Step-3: Factors of 27024

List of positive integer factors of 27024 that divides 27024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512

Step-4: Factors of 27035

List of positive integer factors of 27035 that divides 27024 without a remainder.

1, 5, 5407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27024 and 27035. The biggest common factor number is the GCF number.
So the greatest common factor 27024 and 27035 is 1.

Also check out the Least Common Multiple of 27024 and 27035