What is the Greatest Common Factor of 51500 and 51509?

Greatest common factor (GCF) of 51500 and 51509 is 1.

GCF(51500,51509) = 1

We will now calculate the prime factors of 51500 and 51509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51500 and 51509.

How to find the GCF of 51500 and 51509?

We will first find the prime factorization of 51500 and 51509. After we will calculate the factors of 51500 and 51509 and find the biggest common factor number .

Step-1: Prime Factorization of 51500

Prime factors of 51500 are 2, 5, 103. Prime factorization of 51500 in exponential form is:

51500 = 2² × 5³ × 103¹

Step-2: Prime Factorization of 51509

Prime factors of 51509 are 19, 2711. Prime factorization of 51509 in exponential form is:

51509 = 19¹ × 2711¹

Step-3: Factors of 51500

List of positive integer factors of 51500 that divides 51500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 125, 206, 250, 412, 500, 515, 1030, 2060, 2575, 5150, 10300, 12875, 25750

Step-4: Factors of 51509

List of positive integer factors of 51509 that divides 51500 without a remainder.

1, 19, 2711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51500 and 51509. The biggest common factor number is the GCF number.
So the greatest common factor 51500 and 51509 is 1.

Also check out the Least Common Multiple of 51500 and 51509