What is the Greatest Common Factor of 25305 and 25324?

Greatest common factor (GCF) of 25305 and 25324 is 1.

GCF(25305,25324) = 1

We will now calculate the prime factors of 25305 and 25324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25305 and 25324.

How to find the GCF of 25305 and 25324?

We will first find the prime factorization of 25305 and 25324. After we will calculate the factors of 25305 and 25324 and find the biggest common factor number .

Step-1: Prime Factorization of 25305

Prime factors of 25305 are 3, 5, 7, 241. Prime factorization of 25305 in exponential form is:

25305 = 3¹ × 5¹ × 7¹ × 241¹

Step-2: Prime Factorization of 25324

Prime factors of 25324 are 2, 13, 487. Prime factorization of 25324 in exponential form is:

25324 = 2² × 13¹ × 487¹

Step-3: Factors of 25305

List of positive integer factors of 25305 that divides 25305 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 241, 723, 1205, 1687, 3615, 5061, 8435

Step-4: Factors of 25324

List of positive integer factors of 25324 that divides 25305 without a remainder.

1, 2, 4, 13, 26, 52, 487, 974, 1948, 6331, 12662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25305 and 25324. The biggest common factor number is the GCF number.
So the greatest common factor 25305 and 25324 is 1.

Also check out the Least Common Multiple of 25305 and 25324