What is the Greatest Common Factor of 54915 and 54929?

Greatest common factor (GCF) of 54915 and 54929 is 7.

GCF(54915,54929) = 7

We will now calculate the prime factors of 54915 and 54929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54915 and 54929.

How to find the GCF of 54915 and 54929?

We will first find the prime factorization of 54915 and 54929. After we will calculate the factors of 54915 and 54929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54929

Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:

54929 = 7² × 19¹ × 59¹

Step-3: Factors of 54915

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

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

Step-4: Factors of 54929

List of positive integer factors of 54929 that divides 54915 without a remainder.

1, 7, 19, 49, 59, 133, 413, 931, 1121, 2891, 7847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54915 and 54929. The biggest common factor number is the GCF number.
So the greatest common factor 54915 and 54929 is 7.

Also check out the Least Common Multiple of 54915 and 54929