What is the Greatest Common Factor of 59872 and 59885?

Greatest common factor (GCF) of 59872 and 59885 is 1.

GCF(59872,59885) = 1

We will now calculate the prime factors of 59872 and 59885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59872 and 59885.

How to find the GCF of 59872 and 59885?

We will first find the prime factorization of 59872 and 59885. After we will calculate the factors of 59872 and 59885 and find the biggest common factor number .

Step-1: Prime Factorization of 59872

Prime factors of 59872 are 2, 1871. Prime factorization of 59872 in exponential form is:

59872 = 2⁵ × 1871¹

Step-2: Prime Factorization of 59885

Prime factors of 59885 are 5, 7, 29, 59. Prime factorization of 59885 in exponential form is:

59885 = 5¹ × 7¹ × 29¹ × 59¹

Step-3: Factors of 59872

List of positive integer factors of 59872 that divides 59872 without a remainder.

1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936

Step-4: Factors of 59885

List of positive integer factors of 59885 that divides 59872 without a remainder.

1, 5, 7, 29, 35, 59, 145, 203, 295, 413, 1015, 1711, 2065, 8555, 11977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59872 and 59885. The biggest common factor number is the GCF number.
So the greatest common factor 59872 and 59885 is 1.

Also check out the Least Common Multiple of 59872 and 59885