What is the Greatest Common Factor of 58435 and 58448?

Greatest common factor (GCF) of 58435 and 58448 is 13.

GCF(58435,58448) = 13

We will now calculate the prime factors of 58435 and 58448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58435 and 58448.

How to find the GCF of 58435 and 58448?

We will first find the prime factorization of 58435 and 58448. After we will calculate the factors of 58435 and 58448 and find the biggest common factor number .

Step-1: Prime Factorization of 58435

Prime factors of 58435 are 5, 13, 29, 31. Prime factorization of 58435 in exponential form is:

58435 = 5¹ × 13¹ × 29¹ × 31¹

Step-2: 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-3: Factors of 58435

List of positive integer factors of 58435 that divides 58435 without a remainder.

1, 5, 13, 29, 31, 65, 145, 155, 377, 403, 899, 1885, 2015, 4495, 11687

Step-4: Factors of 58448

List of positive integer factors of 58448 that divides 58435 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58435 and 58448. The biggest common factor number is the GCF number.
So the greatest common factor 58435 and 58448 is 13.

Also check out the Least Common Multiple of 58435 and 58448