What is the Greatest Common Factor of 59230 and 59245?

Greatest common factor (GCF) of 59230 and 59245 is 5.

GCF(59230,59245) = 5

We will now calculate the prime factors of 59230 and 59245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59230 and 59245.

How to find the GCF of 59230 and 59245?

We will first find the prime factorization of 59230 and 59245. After we will calculate the factors of 59230 and 59245 and find the biggest common factor number .

Step-1: Prime Factorization of 59230

Prime factors of 59230 are 2, 5, 5923. Prime factorization of 59230 in exponential form is:

59230 = 2¹ × 5¹ × 5923¹

Step-2: Prime Factorization of 59245

Prime factors of 59245 are 5, 17, 41. Prime factorization of 59245 in exponential form is:

59245 = 5¹ × 17² × 41¹

Step-3: Factors of 59230

List of positive integer factors of 59230 that divides 59230 without a remainder.

1, 2, 5, 10, 5923, 11846, 29615

Step-4: Factors of 59245

List of positive integer factors of 59245 that divides 59230 without a remainder.

1, 5, 17, 41, 85, 205, 289, 697, 1445, 3485, 11849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59230 and 59245. The biggest common factor number is the GCF number.
So the greatest common factor 59230 and 59245 is 5.

Also check out the Least Common Multiple of 59230 and 59245