What is the Greatest Common Factor of 59242 and 59247?

Greatest common factor (GCF) of 59242 and 59247 is 1.

GCF(59242,59247) = 1

We will now calculate the prime factors of 59242 and 59247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59242 and 59247.

How to find the GCF of 59242 and 59247?

We will first find the prime factorization of 59242 and 59247. After we will calculate the factors of 59242 and 59247 and find the biggest common factor number .

Step-1: Prime Factorization of 59242

Prime factors of 59242 are 2, 19, 1559. Prime factorization of 59242 in exponential form is:

59242 = 2¹ × 19¹ × 1559¹

Step-2: Prime Factorization of 59247

Prime factors of 59247 are 3, 29, 227. Prime factorization of 59247 in exponential form is:

59247 = 3² × 29¹ × 227¹

Step-3: Factors of 59242

List of positive integer factors of 59242 that divides 59242 without a remainder.

1, 2, 19, 38, 1559, 3118, 29621

Step-4: Factors of 59247

List of positive integer factors of 59247 that divides 59242 without a remainder.

1, 3, 9, 29, 87, 227, 261, 681, 2043, 6583, 19749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59242 and 59247. The biggest common factor number is the GCF number.
So the greatest common factor 59242 and 59247 is 1.

Also check out the Least Common Multiple of 59242 and 59247