What is the Greatest Common Factor of 51690 and 51698?

Greatest common factor (GCF) of 51690 and 51698 is 2.

GCF(51690,51698) = 2

We will now calculate the prime factors of 51690 and 51698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51690 and 51698.

How to find the GCF of 51690 and 51698?

We will first find the prime factorization of 51690 and 51698. After we will calculate the factors of 51690 and 51698 and find the biggest common factor number .

Step-1: Prime Factorization of 51690

Prime factors of 51690 are 2, 3, 5, 1723. Prime factorization of 51690 in exponential form is:

51690 = 2¹ × 3¹ × 5¹ × 1723¹

Step-2: Prime Factorization of 51698

Prime factors of 51698 are 2, 25849. Prime factorization of 51698 in exponential form is:

51698 = 2¹ × 25849¹

Step-3: Factors of 51690

List of positive integer factors of 51690 that divides 51690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1723, 3446, 5169, 8615, 10338, 17230, 25845

Step-4: Factors of 51698

List of positive integer factors of 51698 that divides 51690 without a remainder.

1, 2, 25849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51690 and 51698. The biggest common factor number is the GCF number.
So the greatest common factor 51690 and 51698 is 2.

Also check out the Least Common Multiple of 51690 and 51698