What is the Greatest Common Factor of 58448 and 58466?

Greatest common factor (GCF) of 58448 and 58466 is 2.

GCF(58448,58466) = 2

We will now calculate the prime factors of 58448 and 58466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58466.

How to find the GCF of 58448 and 58466?

We will first find the prime factorization of 58448 and 58466. After we will calculate the factors of 58448 and 58466 and find the biggest common factor number .

Step-1: Prime Factorization of 58448

Prime factors of 58448 are 2, 13, 281. Prime factorization of 58448 in exponential form is:

58448 = 2⁴ × 13¹ × 281¹

Step-2: Prime Factorization of 58466

Prime factors of 58466 are 2, 23, 31, 41. Prime factorization of 58466 in exponential form is:

58466 = 2¹ × 23¹ × 31¹ × 41¹

Step-3: Factors of 58448

List of positive integer factors of 58448 that divides 58448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 281, 562, 1124, 2248, 3653, 4496, 7306, 14612, 29224

Step-4: Factors of 58466

List of positive integer factors of 58466 that divides 58448 without a remainder.

1, 2, 23, 31, 41, 46, 62, 82, 713, 943, 1271, 1426, 1886, 2542, 29233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58466. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58466 is 2.

Also check out the Least Common Multiple of 58448 and 58466