What is the Greatest Common Factor of 26925 and 26929?

Greatest common factor (GCF) of 26925 and 26929 is 1.

GCF(26925,26929) = 1

We will now calculate the prime factors of 26925 and 26929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26925 and 26929.

How to find the GCF of 26925 and 26929?

We will first find the prime factorization of 26925 and 26929. After we will calculate the factors of 26925 and 26929 and find the biggest common factor number .

Step-1: Prime Factorization of 26925

Prime factors of 26925 are 3, 5, 359. Prime factorization of 26925 in exponential form is:

26925 = 3¹ × 5² × 359¹

Step-2: Prime Factorization of 26929

Prime factors of 26929 are 7, 3847. Prime factorization of 26929 in exponential form is:

26929 = 7¹ × 3847¹

Step-3: Factors of 26925

List of positive integer factors of 26925 that divides 26925 without a remainder.

1, 3, 5, 15, 25, 75, 359, 1077, 1795, 5385, 8975

Step-4: Factors of 26929

List of positive integer factors of 26929 that divides 26925 without a remainder.

1, 7, 3847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26925 and 26929. The biggest common factor number is the GCF number.
So the greatest common factor 26925 and 26929 is 1.

Also check out the Least Common Multiple of 26925 and 26929