What is the Greatest Common Factor of 59298 and 59307?

Greatest common factor (GCF) of 59298 and 59307 is 3.

GCF(59298,59307) = 3

We will now calculate the prime factors of 59298 and 59307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59298 and 59307.

How to find the GCF of 59298 and 59307?

We will first find the prime factorization of 59298 and 59307. After we will calculate the factors of 59298 and 59307 and find the biggest common factor number .

Step-1: Prime Factorization of 59298

Prime factors of 59298 are 2, 3, 9883. Prime factorization of 59298 in exponential form is:

59298 = 2¹ × 3¹ × 9883¹

Step-2: Prime Factorization of 59307

Prime factors of 59307 are 3, 53, 373. Prime factorization of 59307 in exponential form is:

59307 = 3¹ × 53¹ × 373¹

Step-3: Factors of 59298

List of positive integer factors of 59298 that divides 59298 without a remainder.

1, 2, 3, 6, 9883, 19766, 29649

Step-4: Factors of 59307

List of positive integer factors of 59307 that divides 59298 without a remainder.

1, 3, 53, 159, 373, 1119, 19769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59298 and 59307. The biggest common factor number is the GCF number.
So the greatest common factor 59298 and 59307 is 3.

Also check out the Least Common Multiple of 59298 and 59307