What is the Greatest Common Factor of 54676 and 54690?

Greatest common factor (GCF) of 54676 and 54690 is 2.

GCF(54676,54690) = 2

We will now calculate the prime factors of 54676 and 54690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54676 and 54690.

How to find the GCF of 54676 and 54690?

We will first find the prime factorization of 54676 and 54690. After we will calculate the factors of 54676 and 54690 and find the biggest common factor number .

Step-1: Prime Factorization of 54676

Prime factors of 54676 are 2, 13669. Prime factorization of 54676 in exponential form is:

54676 = 2² × 13669¹

Step-2: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-3: Factors of 54676

List of positive integer factors of 54676 that divides 54676 without a remainder.

1, 2, 4, 13669, 27338

Step-4: Factors of 54690

List of positive integer factors of 54690 that divides 54676 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54676 and 54690. The biggest common factor number is the GCF number.
So the greatest common factor 54676 and 54690 is 2.

Also check out the Least Common Multiple of 54676 and 54690