What is the Greatest Common Factor of 25170 and 25180?

Greatest common factor (GCF) of 25170 and 25180 is 10.

GCF(25170,25180) = 10

We will now calculate the prime factors of 25170 and 25180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25170 and 25180.

How to find the GCF of 25170 and 25180?

We will first find the prime factorization of 25170 and 25180. After we will calculate the factors of 25170 and 25180 and find the biggest common factor number .

Step-1: Prime Factorization of 25170

Prime factors of 25170 are 2, 3, 5, 839. Prime factorization of 25170 in exponential form is:

25170 = 2¹ × 3¹ × 5¹ × 839¹

Step-2: Prime Factorization of 25180

Prime factors of 25180 are 2, 5, 1259. Prime factorization of 25180 in exponential form is:

25180 = 2² × 5¹ × 1259¹

Step-3: Factors of 25170

List of positive integer factors of 25170 that divides 25170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 839, 1678, 2517, 4195, 5034, 8390, 12585

Step-4: Factors of 25180

List of positive integer factors of 25180 that divides 25170 without a remainder.

1, 2, 4, 5, 10, 20, 1259, 2518, 5036, 6295, 12590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25170 and 25180. The biggest common factor number is the GCF number.
So the greatest common factor 25170 and 25180 is 10.

Also check out the Least Common Multiple of 25170 and 25180