What is the Greatest Common Factor of 54069 and 54074?

Greatest common factor (GCF) of 54069 and 54074 is 1.

GCF(54069,54074) = 1

We will now calculate the prime factors of 54069 and 54074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54069 and 54074.

How to find the GCF of 54069 and 54074?

We will first find the prime factorization of 54069 and 54074. After we will calculate the factors of 54069 and 54074 and find the biggest common factor number .

Step-1: Prime Factorization of 54069

Prime factors of 54069 are 3, 67, 269. Prime factorization of 54069 in exponential form is:

54069 = 3¹ × 67¹ × 269¹

Step-2: Prime Factorization of 54074

Prime factors of 54074 are 2, 19, 1423. Prime factorization of 54074 in exponential form is:

54074 = 2¹ × 19¹ × 1423¹

Step-3: Factors of 54069

List of positive integer factors of 54069 that divides 54069 without a remainder.

1, 3, 67, 201, 269, 807, 18023

Step-4: Factors of 54074

List of positive integer factors of 54074 that divides 54069 without a remainder.

1, 2, 19, 38, 1423, 2846, 27037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54069 and 54074. The biggest common factor number is the GCF number.
So the greatest common factor 54069 and 54074 is 1.

Also check out the Least Common Multiple of 54069 and 54074