What is the Greatest Common Factor of 54460 and 54474?

Greatest common factor (GCF) of 54460 and 54474 is 14.

GCF(54460,54474) = 14

We will now calculate the prime factors of 54460 and 54474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54460 and 54474.

How to find the GCF of 54460 and 54474?

We will first find the prime factorization of 54460 and 54474. After we will calculate the factors of 54460 and 54474 and find the biggest common factor number .

Step-1: Prime Factorization of 54460

Prime factors of 54460 are 2, 5, 7, 389. Prime factorization of 54460 in exponential form is:

54460 = 2² × 5¹ × 7¹ × 389¹

Step-2: 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-3: Factors of 54460

List of positive integer factors of 54460 that divides 54460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 389, 778, 1556, 1945, 2723, 3890, 5446, 7780, 10892, 13615, 27230

Step-4: Factors of 54474

List of positive integer factors of 54474 that divides 54460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54460 and 54474. The biggest common factor number is the GCF number.
So the greatest common factor 54460 and 54474 is 14.

Also check out the Least Common Multiple of 54460 and 54474