What is the Greatest Common Factor of 54495 and 54509?

Greatest common factor (GCF) of 54495 and 54509 is 7.

GCF(54495,54509) = 7

We will now calculate the prime factors of 54495 and 54509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54495 and 54509.

How to find the GCF of 54495 and 54509?

We will first find the prime factorization of 54495 and 54509. After we will calculate the factors of 54495 and 54509 and find the biggest common factor number .

Step-1: Prime Factorization of 54495

Prime factors of 54495 are 3, 5, 7, 173. Prime factorization of 54495 in exponential form is:

54495 = 3² × 5¹ × 7¹ × 173¹

Step-2: Prime Factorization of 54509

Prime factors of 54509 are 7, 13, 599. Prime factorization of 54509 in exponential form is:

54509 = 7¹ × 13¹ × 599¹

Step-3: Factors of 54495

List of positive integer factors of 54495 that divides 54495 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 173, 315, 519, 865, 1211, 1557, 2595, 3633, 6055, 7785, 10899, 18165

Step-4: Factors of 54509

List of positive integer factors of 54509 that divides 54495 without a remainder.

1, 7, 13, 91, 599, 4193, 7787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54495 and 54509. The biggest common factor number is the GCF number.
So the greatest common factor 54495 and 54509 is 7.

Also check out the Least Common Multiple of 54495 and 54509