What is the Greatest Common Factor of 51825 and 51832?

Greatest common factor (GCF) of 51825 and 51832 is 1.

GCF(51825,51832) = 1

We will now calculate the prime factors of 51825 and 51832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51825 and 51832.

How to find the GCF of 51825 and 51832?

We will first find the prime factorization of 51825 and 51832. After we will calculate the factors of 51825 and 51832 and find the biggest common factor number .

Step-1: Prime Factorization of 51825

Prime factors of 51825 are 3, 5, 691. Prime factorization of 51825 in exponential form is:

51825 = 3¹ × 5² × 691¹

Step-2: Prime Factorization of 51832

Prime factors of 51832 are 2, 11, 19, 31. Prime factorization of 51832 in exponential form is:

51832 = 2³ × 11¹ × 19¹ × 31¹

Step-3: Factors of 51825

List of positive integer factors of 51825 that divides 51825 without a remainder.

1, 3, 5, 15, 25, 75, 691, 2073, 3455, 10365, 17275

Step-4: Factors of 51832

List of positive integer factors of 51832 that divides 51825 without a remainder.

1, 2, 4, 8, 11, 19, 22, 31, 38, 44, 62, 76, 88, 124, 152, 209, 248, 341, 418, 589, 682, 836, 1178, 1364, 1672, 2356, 2728, 4712, 6479, 12958, 25916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51825 and 51832. The biggest common factor number is the GCF number.
So the greatest common factor 51825 and 51832 is 1.

Also check out the Least Common Multiple of 51825 and 51832