What is the Greatest Common Factor of 46514 and 46518?

Greatest common factor (GCF) of 46514 and 46518 is 2.

GCF(46514,46518) = 2

We will now calculate the prime factors of 46514 and 46518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46514 and 46518.

How to find the GCF of 46514 and 46518?

We will first find the prime factorization of 46514 and 46518. After we will calculate the factors of 46514 and 46518 and find the biggest common factor number .

Step-1: Prime Factorization of 46514

Prime factors of 46514 are 2, 13, 1789. Prime factorization of 46514 in exponential form is:

46514 = 2¹ × 13¹ × 1789¹

Step-2: Prime Factorization of 46518

Prime factors of 46518 are 2, 3, 7753. Prime factorization of 46518 in exponential form is:

46518 = 2¹ × 3¹ × 7753¹

Step-3: Factors of 46514

List of positive integer factors of 46514 that divides 46514 without a remainder.

1, 2, 13, 26, 1789, 3578, 23257

Step-4: Factors of 46518

List of positive integer factors of 46518 that divides 46514 without a remainder.

1, 2, 3, 6, 7753, 15506, 23259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46514 and 46518. The biggest common factor number is the GCF number.
So the greatest common factor 46514 and 46518 is 2.

Also check out the Least Common Multiple of 46514 and 46518