What is the Greatest Common Factor of 59018 and 59024?

Greatest common factor (GCF) of 59018 and 59024 is 2.

GCF(59018,59024) = 2

We will now calculate the prime factors of 59018 and 59024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59018 and 59024.

How to find the GCF of 59018 and 59024?

We will first find the prime factorization of 59018 and 59024. After we will calculate the factors of 59018 and 59024 and find the biggest common factor number .

Step-1: Prime Factorization of 59018

Prime factors of 59018 are 2, 23, 1283. Prime factorization of 59018 in exponential form is:

59018 = 2¹ × 23¹ × 1283¹

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 59018

List of positive integer factors of 59018 that divides 59018 without a remainder.

1, 2, 23, 46, 1283, 2566, 29509

Step-4: Factors of 59024

List of positive integer factors of 59024 that divides 59018 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 59018 and 59024. The biggest common factor number is the GCF number.
So the greatest common factor 59018 and 59024 is 2.

Also check out the Least Common Multiple of 59018 and 59024