What is the Greatest Common Factor of 45500 and 45518?

Greatest common factor (GCF) of 45500 and 45518 is 2.

GCF(45500,45518) = 2

We will now calculate the prime factors of 45500 and 45518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45500 and 45518.

How to find the GCF of 45500 and 45518?

We will first find the prime factorization of 45500 and 45518. After we will calculate the factors of 45500 and 45518 and find the biggest common factor number .

Step-1: Prime Factorization of 45500

Prime factors of 45500 are 2, 5, 7, 13. Prime factorization of 45500 in exponential form is:

45500 = 2² × 5³ × 7¹ × 13¹

Step-2: Prime Factorization of 45518

Prime factors of 45518 are 2, 11, 2069. Prime factorization of 45518 in exponential form is:

45518 = 2¹ × 11¹ × 2069¹

Step-3: Factors of 45500

List of positive integer factors of 45500 that divides 45500 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 125, 130, 140, 175, 182, 250, 260, 325, 350, 364, 455, 500, 650, 700, 875, 910, 1300, 1625, 1750, 1820, 2275, 3250, 3500, 4550, 6500, 9100, 11375, 22750

Step-4: Factors of 45518

List of positive integer factors of 45518 that divides 45500 without a remainder.

1, 2, 11, 22, 2069, 4138, 22759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45500 and 45518. The biggest common factor number is the GCF number.
So the greatest common factor 45500 and 45518 is 2.

Also check out the Least Common Multiple of 45500 and 45518