What is the Greatest Common Factor of 59005 and 59024?

Greatest common factor (GCF) of 59005 and 59024 is 1.

GCF(59005,59024) = 1

We will now calculate the prime factors of 59005 and 59024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59005 and 59024.

How to find the GCF of 59005 and 59024?

We will first find the prime factorization of 59005 and 59024. After we will calculate the factors of 59005 and 59024 and find the biggest common factor number .

Step-1: Prime Factorization of 59005

Prime factors of 59005 are 5, 11801. Prime factorization of 59005 in exponential form is:

59005 = 5¹ × 11801¹

Step-2: Prime Factorization of 59024

Prime factors of 59024 are 2, 7, 17, 31. Prime factorization of 59024 in exponential form is:

59024 = 2⁴ × 7¹ × 17¹ × 31¹

Step-3: Factors of 59005

List of positive integer factors of 59005 that divides 59005 without a remainder.

1, 5, 11801

Step-4: Factors of 59024

List of positive integer factors of 59024 that divides 59005 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 31, 34, 56, 62, 68, 112, 119, 124, 136, 217, 238, 248, 272, 434, 476, 496, 527, 868, 952, 1054, 1736, 1904, 2108, 3472, 3689, 4216, 7378, 8432, 14756, 29512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59005 and 59024. The biggest common factor number is the GCF number.
So the greatest common factor 59005 and 59024 is 1.

Also check out the Least Common Multiple of 59005 and 59024