What is the Greatest Common Factor of 59297 and 59305?

Greatest common factor (GCF) of 59297 and 59305 is 1.

GCF(59297,59305) = 1

We will now calculate the prime factors of 59297 and 59305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59297 and 59305.

How to find the GCF of 59297 and 59305?

We will first find the prime factorization of 59297 and 59305. After we will calculate the factors of 59297 and 59305 and find the biggest common factor number .

Step-1: Prime Factorization of 59297

Prime factors of 59297 are 7, 43, 197. Prime factorization of 59297 in exponential form is:

59297 = 7¹ × 43¹ × 197¹

Step-2: Prime Factorization of 59305

Prime factors of 59305 are 5, 29, 409. Prime factorization of 59305 in exponential form is:

59305 = 5¹ × 29¹ × 409¹

Step-3: Factors of 59297

List of positive integer factors of 59297 that divides 59297 without a remainder.

1, 7, 43, 197, 301, 1379, 8471

Step-4: Factors of 59305

List of positive integer factors of 59305 that divides 59297 without a remainder.

1, 5, 29, 145, 409, 2045, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59297 and 59305. The biggest common factor number is the GCF number.
So the greatest common factor 59297 and 59305 is 1.

Also check out the Least Common Multiple of 59297 and 59305