What is the Greatest Common Factor of 59297 and 59302?

Greatest common factor (GCF) of 59297 and 59302 is 1.

GCF(59297,59302) = 1

We will now calculate the prime factors of 59297 and 59302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59297 and 59302.

How to find the GCF of 59297 and 59302?

We will first find the prime factorization of 59297 and 59302. After we will calculate the factors of 59297 and 59302 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 59302

Prime factors of 59302 are 2, 149, 199. Prime factorization of 59302 in exponential form is:

59302 = 2¹ × 149¹ × 199¹

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 59302

List of positive integer factors of 59302 that divides 59297 without a remainder.

1, 2, 149, 199, 298, 398, 29651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59297 and 59302. The biggest common factor number is the GCF number.
So the greatest common factor 59297 and 59302 is 1.

Also check out the Least Common Multiple of 59297 and 59302