What is the Greatest Common Factor of 54460 and 54466?

Greatest common factor (GCF) of 54460 and 54466 is 2.

GCF(54460,54466) = 2

We will now calculate the prime factors of 54460 and 54466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54460 and 54466.

How to find the GCF of 54460 and 54466?

We will first find the prime factorization of 54460 and 54466. After we will calculate the factors of 54460 and 54466 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 54466

Prime factors of 54466 are 2, 113, 241. Prime factorization of 54466 in exponential form is:

54466 = 2¹ × 113¹ × 241¹

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 54466

List of positive integer factors of 54466 that divides 54460 without a remainder.

1, 2, 113, 226, 241, 482, 27233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54460 and 54466. The biggest common factor number is the GCF number.
So the greatest common factor 54460 and 54466 is 2.

Also check out the Least Common Multiple of 54460 and 54466