What is the Greatest Common Factor of 34507 and 34518?

Greatest common factor (GCF) of 34507 and 34518 is 11.

GCF(34507,34518) = 11

We will now calculate the prime factors of 34507 and 34518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34507 and 34518.

How to find the GCF of 34507 and 34518?

We will first find the prime factorization of 34507 and 34518. After we will calculate the factors of 34507 and 34518 and find the biggest common factor number .

Step-1: Prime Factorization of 34507

Prime factors of 34507 are 11, 3137. Prime factorization of 34507 in exponential form is:

34507 = 11¹ × 3137¹

Step-2: Prime Factorization of 34518

Prime factors of 34518 are 2, 3, 11, 523. Prime factorization of 34518 in exponential form is:

34518 = 2¹ × 3¹ × 11¹ × 523¹

Step-3: Factors of 34507

List of positive integer factors of 34507 that divides 34507 without a remainder.

1, 11, 3137

Step-4: Factors of 34518

List of positive integer factors of 34518 that divides 34507 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 523, 1046, 1569, 3138, 5753, 11506, 17259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34507 and 34518. The biggest common factor number is the GCF number.
So the greatest common factor 34507 and 34518 is 11.

Also check out the Least Common Multiple of 34507 and 34518