What is the Greatest Common Factor of 59010 and 59027?

Greatest common factor (GCF) of 59010 and 59027 is 1.

GCF(59010,59027) = 1

We will now calculate the prime factors of 59010 and 59027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59010 and 59027.

How to find the GCF of 59010 and 59027?

We will first find the prime factorization of 59010 and 59027. After we will calculate the factors of 59010 and 59027 and find the biggest common factor number .

Step-1: Prime Factorization of 59010

Prime factors of 59010 are 2, 3, 5, 7, 281. Prime factorization of 59010 in exponential form is:

59010 = 2¹ × 3¹ × 5¹ × 7¹ × 281¹

Step-2: Prime Factorization of 59027

Prime factors of 59027 are 67, 881. Prime factorization of 59027 in exponential form is:

59027 = 67¹ × 881¹

Step-3: Factors of 59010

List of positive integer factors of 59010 that divides 59010 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 281, 562, 843, 1405, 1686, 1967, 2810, 3934, 4215, 5901, 8430, 9835, 11802, 19670, 29505

Step-4: Factors of 59027

List of positive integer factors of 59027 that divides 59010 without a remainder.

1, 67, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59010 and 59027. The biggest common factor number is the GCF number.
So the greatest common factor 59010 and 59027 is 1.

Also check out the Least Common Multiple of 59010 and 59027