What is the Greatest Common Factor of 56074 and 56089?

Greatest common factor (GCF) of 56074 and 56089 is 1.

GCF(56074,56089) = 1

We will now calculate the prime factors of 56074 and 56089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56074 and 56089.

How to find the GCF of 56074 and 56089?

We will first find the prime factorization of 56074 and 56089. After we will calculate the factors of 56074 and 56089 and find the biggest common factor number .

Step-1: Prime Factorization of 56074

Prime factors of 56074 are 2, 23, 53. Prime factorization of 56074 in exponential form is:

56074 = 2¹ × 23² × 53¹

Step-2: Prime Factorization of 56089

Prime factors of 56089 are 11, 5099. Prime factorization of 56089 in exponential form is:

56089 = 11¹ × 5099¹

Step-3: Factors of 56074

List of positive integer factors of 56074 that divides 56074 without a remainder.

1, 2, 23, 46, 53, 106, 529, 1058, 1219, 2438, 28037

Step-4: Factors of 56089

List of positive integer factors of 56089 that divides 56074 without a remainder.

1, 11, 5099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56074 and 56089. The biggest common factor number is the GCF number.
So the greatest common factor 56074 and 56089 is 1.

Also check out the Least Common Multiple of 56074 and 56089