What is the Greatest Common Factor of 25174 and 25180?

Greatest common factor (GCF) of 25174 and 25180 is 2.

GCF(25174,25180) = 2

We will now calculate the prime factors of 25174 and 25180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25174 and 25180.

How to find the GCF of 25174 and 25180?

We will first find the prime factorization of 25174 and 25180. After we will calculate the factors of 25174 and 25180 and find the biggest common factor number .

Step-1: Prime Factorization of 25174

Prime factors of 25174 are 2, 41, 307. Prime factorization of 25174 in exponential form is:

25174 = 2¹ × 41¹ × 307¹

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 25174

List of positive integer factors of 25174 that divides 25174 without a remainder.

1, 2, 41, 82, 307, 614, 12587

Step-4: Factors of 25180

List of positive integer factors of 25180 that divides 25174 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 25174 and 25180. The biggest common factor number is the GCF number.
So the greatest common factor 25174 and 25180 is 2.

Also check out the Least Common Multiple of 25174 and 25180