What is the Greatest Common Factor of 56504 and 56518?

Greatest common factor (GCF) of 56504 and 56518 is 14.

GCF(56504,56518) = 14

We will now calculate the prime factors of 56504 and 56518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56504 and 56518.

How to find the GCF of 56504 and 56518?

We will first find the prime factorization of 56504 and 56518. After we will calculate the factors of 56504 and 56518 and find the biggest common factor number .

Step-1: Prime Factorization of 56504

Prime factors of 56504 are 2, 7, 1009. Prime factorization of 56504 in exponential form is:

56504 = 2³ × 7¹ × 1009¹

Step-2: Prime Factorization of 56518

Prime factors of 56518 are 2, 7, 11, 367. Prime factorization of 56518 in exponential form is:

56518 = 2¹ × 7¹ × 11¹ × 367¹

Step-3: Factors of 56504

List of positive integer factors of 56504 that divides 56504 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1009, 2018, 4036, 7063, 8072, 14126, 28252

Step-4: Factors of 56518

List of positive integer factors of 56518 that divides 56504 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 367, 734, 2569, 4037, 5138, 8074, 28259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56504 and 56518. The biggest common factor number is the GCF number.
So the greatest common factor 56504 and 56518 is 14.

Also check out the Least Common Multiple of 56504 and 56518