What is the Greatest Common Factor of 59024 and 59029?

Greatest common factor (GCF) of 59024 and 59029 is 1.

GCF(59024,59029) = 1

We will now calculate the prime factors of 59024 and 59029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59024 and 59029.

How to find the GCF of 59024 and 59029?

We will first find the prime factorization of 59024 and 59029. After we will calculate the factors of 59024 and 59029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59029

Prime factors of 59029 are 59029. Prime factorization of 59029 in exponential form is:

59029 = 59029¹

Step-3: Factors of 59024

List of positive integer factors of 59024 that divides 59024 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

Step-4: Factors of 59029

List of positive integer factors of 59029 that divides 59024 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59024 and 59029. The biggest common factor number is the GCF number.
So the greatest common factor 59024 and 59029 is 1.

Also check out the Least Common Multiple of 59024 and 59029