What is the Greatest Common Factor of 54909 and 54915?

Greatest common factor (GCF) of 54909 and 54915 is 3.

GCF(54909,54915) = 3

We will now calculate the prime factors of 54909 and 54915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54909 and 54915.

How to find the GCF of 54909 and 54915?

We will first find the prime factorization of 54909 and 54915. After we will calculate the factors of 54909 and 54915 and find the biggest common factor number .

Step-1: Prime Factorization of 54909

Prime factors of 54909 are 3, 6101. Prime factorization of 54909 in exponential form is:

54909 = 3² × 6101¹

Step-2: Prime Factorization of 54915

Prime factors of 54915 are 3, 5, 7, 523. Prime factorization of 54915 in exponential form is:

54915 = 3¹ × 5¹ × 7¹ × 523¹

Step-3: Factors of 54909

List of positive integer factors of 54909 that divides 54909 without a remainder.

1, 3, 9, 6101, 18303

Step-4: Factors of 54915

List of positive integer factors of 54915 that divides 54909 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 523, 1569, 2615, 3661, 7845, 10983, 18305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54909 and 54915. The biggest common factor number is the GCF number.
So the greatest common factor 54909 and 54915 is 3.

Also check out the Least Common Multiple of 54909 and 54915