What is the Greatest Common Factor of 58448 and 58461?

Greatest common factor (GCF) of 58448 and 58461 is 13.

GCF(58448,58461) = 13

We will now calculate the prime factors of 58448 and 58461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58461.

How to find the GCF of 58448 and 58461?

We will first find the prime factorization of 58448 and 58461. After we will calculate the factors of 58448 and 58461 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 58461

Prime factors of 58461 are 3, 13, 1499. Prime factorization of 58461 in exponential form is:

58461 = 3¹ × 13¹ × 1499¹

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 58461

List of positive integer factors of 58461 that divides 58448 without a remainder.

1, 3, 13, 39, 1499, 4497, 19487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58461. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58461 is 13.

Also check out the Least Common Multiple of 58448 and 58461