What is the Greatest Common Factor of 54474 and 54484?

Greatest common factor (GCF) of 54474 and 54484 is 2.

GCF(54474,54484) = 2

We will now calculate the prime factors of 54474 and 54484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54474 and 54484.

How to find the GCF of 54474 and 54484?

We will first find the prime factorization of 54474 and 54484. After we will calculate the factors of 54474 and 54484 and find the biggest common factor number .

Step-1: Prime Factorization of 54474

Prime factors of 54474 are 2, 3, 7, 1297. Prime factorization of 54474 in exponential form is:

54474 = 2¹ × 3¹ × 7¹ × 1297¹

Step-2: Prime Factorization of 54484

Prime factors of 54484 are 2, 53, 257. Prime factorization of 54484 in exponential form is:

54484 = 2² × 53¹ × 257¹

Step-3: Factors of 54474

List of positive integer factors of 54474 that divides 54474 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1297, 2594, 3891, 7782, 9079, 18158, 27237

Step-4: Factors of 54484

List of positive integer factors of 54484 that divides 54474 without a remainder.

1, 2, 4, 53, 106, 212, 257, 514, 1028, 13621, 27242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54474 and 54484. The biggest common factor number is the GCF number.
So the greatest common factor 54474 and 54484 is 2.

Also check out the Least Common Multiple of 54474 and 54484