What is the Greatest Common Factor of 54453 and 54467?

Greatest common factor (GCF) of 54453 and 54467 is 7.

GCF(54453,54467) = 7

We will now calculate the prime factors of 54453 and 54467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54453 and 54467.

How to find the GCF of 54453 and 54467?

We will first find the prime factorization of 54453 and 54467. After we will calculate the factors of 54453 and 54467 and find the biggest common factor number .

Step-1: Prime Factorization of 54453

Prime factors of 54453 are 3, 7, 2593. Prime factorization of 54453 in exponential form is:

54453 = 3¹ × 7¹ × 2593¹

Step-2: Prime Factorization of 54467

Prime factors of 54467 are 7, 31, 251. Prime factorization of 54467 in exponential form is:

54467 = 7¹ × 31¹ × 251¹

Step-3: Factors of 54453

List of positive integer factors of 54453 that divides 54453 without a remainder.

1, 3, 7, 21, 2593, 7779, 18151

Step-4: Factors of 54467

List of positive integer factors of 54467 that divides 54453 without a remainder.

1, 7, 31, 217, 251, 1757, 7781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54453 and 54467. The biggest common factor number is the GCF number.
So the greatest common factor 54453 and 54467 is 7.

Also check out the Least Common Multiple of 54453 and 54467