What is the Greatest Common Factor of 25935 and 25949?

Greatest common factor (GCF) of 25935 and 25949 is 7.

GCF(25935,25949) = 7

We will now calculate the prime factors of 25935 and 25949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25935 and 25949.

How to find the GCF of 25935 and 25949?

We will first find the prime factorization of 25935 and 25949. After we will calculate the factors of 25935 and 25949 and find the biggest common factor number .

Step-1: Prime Factorization of 25935

Prime factors of 25935 are 3, 5, 7, 13, 19. Prime factorization of 25935 in exponential form is:

25935 = 3¹ × 5¹ × 7¹ × 13¹ × 19¹

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 25935

List of positive integer factors of 25935 that divides 25935 without a remainder.

1, 3, 5, 7, 13, 15, 19, 21, 35, 39, 57, 65, 91, 95, 105, 133, 195, 247, 273, 285, 399, 455, 665, 741, 1235, 1365, 1729, 1995, 3705, 5187, 8645

Step-4: Factors of 25949

List of positive integer factors of 25949 that divides 25935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25935 and 25949. The biggest common factor number is the GCF number.
So the greatest common factor 25935 and 25949 is 7.

Also check out the Least Common Multiple of 25935 and 25949