What is the Greatest Common Factor of 25730 and 25741?

Greatest common factor (GCF) of 25730 and 25741 is 1.

GCF(25730,25741) = 1

We will now calculate the prime factors of 25730 and 25741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25730 and 25741.

How to find the GCF of 25730 and 25741?

We will first find the prime factorization of 25730 and 25741. After we will calculate the factors of 25730 and 25741 and find the biggest common factor number .

Step-1: Prime Factorization of 25730

Prime factors of 25730 are 2, 5, 31, 83. Prime factorization of 25730 in exponential form is:

25730 = 2¹ × 5¹ × 31¹ × 83¹

Step-2: Prime Factorization of 25741

Prime factors of 25741 are 25741. Prime factorization of 25741 in exponential form is:

25741 = 25741¹

Step-3: Factors of 25730

List of positive integer factors of 25730 that divides 25730 without a remainder.

1, 2, 5, 10, 31, 62, 83, 155, 166, 310, 415, 830, 2573, 5146, 12865

Step-4: Factors of 25741

List of positive integer factors of 25741 that divides 25730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25730 and 25741. The biggest common factor number is the GCF number.
So the greatest common factor 25730 and 25741 is 1.

Also check out the Least Common Multiple of 25730 and 25741