What is the Greatest Common Factor of 51768 and 51782?

Greatest common factor (GCF) of 51768 and 51782 is 2.

GCF(51768,51782) = 2

We will now calculate the prime factors of 51768 and 51782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51768 and 51782.

How to find the GCF of 51768 and 51782?

We will first find the prime factorization of 51768 and 51782. After we will calculate the factors of 51768 and 51782 and find the biggest common factor number .

Step-1: Prime Factorization of 51768

Prime factors of 51768 are 2, 3, 719. Prime factorization of 51768 in exponential form is:

51768 = 2³ × 3² × 719¹

Step-2: Prime Factorization of 51782

Prime factors of 51782 are 2, 17, 1523. Prime factorization of 51782 in exponential form is:

51782 = 2¹ × 17¹ × 1523¹

Step-3: Factors of 51768

List of positive integer factors of 51768 that divides 51768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 719, 1438, 2157, 2876, 4314, 5752, 6471, 8628, 12942, 17256, 25884

Step-4: Factors of 51782

List of positive integer factors of 51782 that divides 51768 without a remainder.

1, 2, 17, 34, 1523, 3046, 25891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51768 and 51782. The biggest common factor number is the GCF number.
So the greatest common factor 51768 and 51782 is 2.

Also check out the Least Common Multiple of 51768 and 51782