What is the Greatest Common Factor of 25929 and 25949?

Greatest common factor (GCF) of 25929 and 25949 is 1.

GCF(25929,25949) = 1

We will now calculate the prime factors of 25929 and 25949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25929 and 25949.

How to find the GCF of 25929 and 25949?

We will first find the prime factorization of 25929 and 25949. After we will calculate the factors of 25929 and 25949 and find the biggest common factor number .

Step-1: Prime Factorization of 25929

Prime factors of 25929 are 3, 43, 67. Prime factorization of 25929 in exponential form is:

25929 = 3² × 43¹ × 67¹

Step-2: Prime Factorization of 25949

Prime factors of 25949 are 7, 11, 337. Prime factorization of 25949 in exponential form is:

25949 = 7¹ × 11¹ × 337¹

Step-3: Factors of 25929

List of positive integer factors of 25929 that divides 25929 without a remainder.

1, 3, 9, 43, 67, 129, 201, 387, 603, 2881, 8643

Step-4: Factors of 25949

List of positive integer factors of 25949 that divides 25929 without a remainder.

1, 7, 11, 77, 337, 2359, 3707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25929 and 25949. The biggest common factor number is the GCF number.
So the greatest common factor 25929 and 25949 is 1.

Also check out the Least Common Multiple of 25929 and 25949