What is the Greatest Common Factor of 58448 and 58467?

Greatest common factor (GCF) of 58448 and 58467 is 1.

GCF(58448,58467) = 1

We will now calculate the prime factors of 58448 and 58467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58467.

How to find the GCF of 58448 and 58467?

We will first find the prime factorization of 58448 and 58467. After we will calculate the factors of 58448 and 58467 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 58467

Prime factors of 58467 are 3, 19489. Prime factorization of 58467 in exponential form is:

58467 = 3¹ × 19489¹

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 58467

List of positive integer factors of 58467 that divides 58448 without a remainder.

1, 3, 19489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58467. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58467 is 1.

Also check out the Least Common Multiple of 58448 and 58467