What is the Greatest Common Factor of 59238 and 59245?

Greatest common factor (GCF) of 59238 and 59245 is 1.

GCF(59238,59245) = 1

We will now calculate the prime factors of 59238 and 59245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59238 and 59245.

How to find the GCF of 59238 and 59245?

We will first find the prime factorization of 59238 and 59245. After we will calculate the factors of 59238 and 59245 and find the biggest common factor number .

Step-1: Prime Factorization of 59238

Prime factors of 59238 are 2, 3, 1097. Prime factorization of 59238 in exponential form is:

59238 = 2¹ × 3³ × 1097¹

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 59238

List of positive integer factors of 59238 that divides 59238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1097, 2194, 3291, 6582, 9873, 19746, 29619

Step-4: Factors of 59245

List of positive integer factors of 59245 that divides 59238 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 59238 and 59245. The biggest common factor number is the GCF number.
So the greatest common factor 59238 and 59245 is 1.

Also check out the Least Common Multiple of 59238 and 59245