What is the Greatest Common Factor of 25949 and 25967?

Greatest common factor (GCF) of 25949 and 25967 is 1.

GCF(25949,25967) = 1

We will now calculate the prime factors of 25949 and 25967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25949 and 25967.

How to find the GCF of 25949 and 25967?

We will first find the prime factorization of 25949 and 25967. After we will calculate the factors of 25949 and 25967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25967

Prime factors of 25967 are 23, 1129. Prime factorization of 25967 in exponential form is:

25967 = 23¹ × 1129¹

Step-3: Factors of 25949

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

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

Step-4: Factors of 25967

List of positive integer factors of 25967 that divides 25949 without a remainder.

1, 23, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25949 and 25967. The biggest common factor number is the GCF number.
So the greatest common factor 25949 and 25967 is 1.

Also check out the Least Common Multiple of 25949 and 25967