What is the Greatest Common Factor of 51501 and 51509?

Greatest common factor (GCF) of 51501 and 51509 is 1.

GCF(51501,51509) = 1

We will now calculate the prime factors of 51501 and 51509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51501 and 51509.

How to find the GCF of 51501 and 51509?

We will first find the prime factorization of 51501 and 51509. After we will calculate the factors of 51501 and 51509 and find the biggest common factor number .

Step-1: Prime Factorization of 51501

Prime factors of 51501 are 3, 17167. Prime factorization of 51501 in exponential form is:

51501 = 3¹ × 17167¹

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 51501

List of positive integer factors of 51501 that divides 51501 without a remainder.

1, 3, 17167

Step-4: Factors of 51509

List of positive integer factors of 51509 that divides 51501 without a remainder.

1, 19, 2711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51501 and 51509. The biggest common factor number is the GCF number.
So the greatest common factor 51501 and 51509 is 1.

Also check out the Least Common Multiple of 51501 and 51509