What is the Greatest Common Factor of 51609 and 51628?

Greatest common factor (GCF) of 51609 and 51628 is 1.

GCF(51609,51628) = 1

We will now calculate the prime factors of 51609 and 51628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51609 and 51628.

How to find the GCF of 51609 and 51628?

We will first find the prime factorization of 51609 and 51628. After we will calculate the factors of 51609 and 51628 and find the biggest common factor number .

Step-1: Prime Factorization of 51609

Prime factors of 51609 are 3, 17203. Prime factorization of 51609 in exponential form is:

51609 = 3¹ × 17203¹

Step-2: Prime Factorization of 51628

Prime factors of 51628 are 2, 12907. Prime factorization of 51628 in exponential form is:

51628 = 2² × 12907¹

Step-3: Factors of 51609

List of positive integer factors of 51609 that divides 51609 without a remainder.

1, 3, 17203

Step-4: Factors of 51628

List of positive integer factors of 51628 that divides 51609 without a remainder.

1, 2, 4, 12907, 25814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51609 and 51628. The biggest common factor number is the GCF number.
So the greatest common factor 51609 and 51628 is 1.

Also check out the Least Common Multiple of 51609 and 51628