What is the Greatest Common Factor of 34287 and 34298?

Greatest common factor (GCF) of 34287 and 34298 is 11.

GCF(34287,34298) = 11

We will now calculate the prime factors of 34287 and 34298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34287 and 34298.

How to find the GCF of 34287 and 34298?

We will first find the prime factorization of 34287 and 34298. After we will calculate the factors of 34287 and 34298 and find the biggest common factor number .

Step-1: Prime Factorization of 34287

Prime factors of 34287 are 3, 11, 1039. Prime factorization of 34287 in exponential form is:

34287 = 3¹ × 11¹ × 1039¹

Step-2: Prime Factorization of 34298

Prime factors of 34298 are 2, 11, 1559. Prime factorization of 34298 in exponential form is:

34298 = 2¹ × 11¹ × 1559¹

Step-3: Factors of 34287

List of positive integer factors of 34287 that divides 34287 without a remainder.

1, 3, 11, 33, 1039, 3117, 11429

Step-4: Factors of 34298

List of positive integer factors of 34298 that divides 34287 without a remainder.

1, 2, 11, 22, 1559, 3118, 17149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34287 and 34298. The biggest common factor number is the GCF number.
So the greatest common factor 34287 and 34298 is 11.

Also check out the Least Common Multiple of 34287 and 34298