What is the Greatest Common Factor of 51828 and 51842?

Greatest common factor (GCF) of 51828 and 51842 is 14.

GCF(51828,51842) = 14

We will now calculate the prime factors of 51828 and 51842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51828 and 51842.

How to find the GCF of 51828 and 51842?

We will first find the prime factorization of 51828 and 51842. After we will calculate the factors of 51828 and 51842 and find the biggest common factor number .

Step-1: Prime Factorization of 51828

Prime factors of 51828 are 2, 3, 7, 617. Prime factorization of 51828 in exponential form is:

51828 = 2² × 3¹ × 7¹ × 617¹

Step-2: Prime Factorization of 51842

Prime factors of 51842 are 2, 7, 23. Prime factorization of 51842 in exponential form is:

51842 = 2¹ × 7² × 23²

Step-3: Factors of 51828

List of positive integer factors of 51828 that divides 51828 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 617, 1234, 1851, 2468, 3702, 4319, 7404, 8638, 12957, 17276, 25914

Step-4: Factors of 51842

List of positive integer factors of 51842 that divides 51828 without a remainder.

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 529, 1058, 1127, 2254, 3703, 7406, 25921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51828 and 51842. The biggest common factor number is the GCF number.
So the greatest common factor 51828 and 51842 is 14.

Also check out the Least Common Multiple of 51828 and 51842