What is the Greatest Common Factor of 59024 and 59031?

Greatest common factor (GCF) of 59024 and 59031 is 7.

GCF(59024,59031) = 7

We will now calculate the prime factors of 59024 and 59031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59024 and 59031.

How to find the GCF of 59024 and 59031?

We will first find the prime factorization of 59024 and 59031. After we will calculate the factors of 59024 and 59031 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 59031

Prime factors of 59031 are 3, 7, 937. Prime factorization of 59031 in exponential form is:

59031 = 3² × 7¹ × 937¹

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 59031

List of positive integer factors of 59031 that divides 59024 without a remainder.

1, 3, 7, 9, 21, 63, 937, 2811, 6559, 8433, 19677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59024 and 59031. The biggest common factor number is the GCF number.
So the greatest common factor 59024 and 59031 is 7.

Also check out the Least Common Multiple of 59024 and 59031