What is the Greatest Common Factor of 59024 and 59038?

Greatest common factor (GCF) of 59024 and 59038 is 14.

GCF(59024,59038) = 14

We will now calculate the prime factors of 59024 and 59038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59024 and 59038.

How to find the GCF of 59024 and 59038?

We will first find the prime factorization of 59024 and 59038. After we will calculate the factors of 59024 and 59038 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 59038

Prime factors of 59038 are 2, 7, 4217. Prime factorization of 59038 in exponential form is:

59038 = 2¹ × 7¹ × 4217¹

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 59038

List of positive integer factors of 59038 that divides 59024 without a remainder.

1, 2, 7, 14, 4217, 8434, 29519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59024 and 59038. The biggest common factor number is the GCF number.
So the greatest common factor 59024 and 59038 is 14.

Also check out the Least Common Multiple of 59024 and 59038