What is the Greatest Common Factor of 58448 and 58462?

Greatest common factor (GCF) of 58448 and 58462 is 2.

GCF(58448,58462) = 2

We will now calculate the prime factors of 58448 and 58462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58462.

How to find the GCF of 58448 and 58462?

We will first find the prime factorization of 58448 and 58462. After we will calculate the factors of 58448 and 58462 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 58462

Prime factors of 58462 are 2, 29231. Prime factorization of 58462 in exponential form is:

58462 = 2¹ × 29231¹

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 58462

List of positive integer factors of 58462 that divides 58448 without a remainder.

1, 2, 29231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58462. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58462 is 2.

Also check out the Least Common Multiple of 58448 and 58462