What is the Greatest Common Factor of 59245 and 59251?

Greatest common factor (GCF) of 59245 and 59251 is 1.

GCF(59245,59251) = 1

We will now calculate the prime factors of 59245 and 59251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59245 and 59251.

How to find the GCF of 59245 and 59251?

We will first find the prime factorization of 59245 and 59251. After we will calculate the factors of 59245 and 59251 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59251

Prime factors of 59251 are 193, 307. Prime factorization of 59251 in exponential form is:

59251 = 193¹ × 307¹

Step-3: Factors of 59245

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

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

Step-4: Factors of 59251

List of positive integer factors of 59251 that divides 59245 without a remainder.

1, 193, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59245 and 59251. The biggest common factor number is the GCF number.
So the greatest common factor 59245 and 59251 is 1.

Also check out the Least Common Multiple of 59245 and 59251