What is the Greatest Common Factor of 25730 and 25739?

Greatest common factor (GCF) of 25730 and 25739 is 1.

GCF(25730,25739) = 1

We will now calculate the prime factors of 25730 and 25739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25730 and 25739.

How to find the GCF of 25730 and 25739?

We will first find the prime factorization of 25730 and 25739. After we will calculate the factors of 25730 and 25739 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 25739

Prime factors of 25739 are 7, 3677. Prime factorization of 25739 in exponential form is:

25739 = 7¹ × 3677¹

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 25739

List of positive integer factors of 25739 that divides 25730 without a remainder.

1, 7, 3677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25730 and 25739. The biggest common factor number is the GCF number.
So the greatest common factor 25730 and 25739 is 1.

Also check out the Least Common Multiple of 25730 and 25739