What is the Greatest Common Factor of 58448 and 58454?

Greatest common factor (GCF) of 58448 and 58454 is 2.

GCF(58448,58454) = 2

We will now calculate the prime factors of 58448 and 58454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58454.

How to find the GCF of 58448 and 58454?

We will first find the prime factorization of 58448 and 58454. After we will calculate the factors of 58448 and 58454 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 58454

Prime factors of 58454 are 2, 11, 2657. Prime factorization of 58454 in exponential form is:

58454 = 2¹ × 11¹ × 2657¹

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 58454

List of positive integer factors of 58454 that divides 58448 without a remainder.

1, 2, 11, 22, 2657, 5314, 29227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58454. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58454 is 2.

Also check out the Least Common Multiple of 58448 and 58454