What is the Greatest Common Factor of 51810 and 51825?

Greatest common factor (GCF) of 51810 and 51825 is 15.

GCF(51810,51825) = 15

We will now calculate the prime factors of 51810 and 51825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51810 and 51825.

How to find the GCF of 51810 and 51825?

We will first find the prime factorization of 51810 and 51825. After we will calculate the factors of 51810 and 51825 and find the biggest common factor number .

Step-1: Prime Factorization of 51810

Prime factors of 51810 are 2, 3, 5, 11, 157. Prime factorization of 51810 in exponential form is:

51810 = 2¹ × 3¹ × 5¹ × 11¹ × 157¹

Step-2: 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-3: Factors of 51810

List of positive integer factors of 51810 that divides 51810 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 157, 165, 314, 330, 471, 785, 942, 1570, 1727, 2355, 3454, 4710, 5181, 8635, 10362, 17270, 25905

Step-4: Factors of 51825

List of positive integer factors of 51825 that divides 51810 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51810 and 51825. The biggest common factor number is the GCF number.
So the greatest common factor 51810 and 51825 is 15.

Also check out the Least Common Multiple of 51810 and 51825