What is the Greatest Common Factor of 26146 and 26153?

Greatest common factor (GCF) of 26146 and 26153 is 1.

GCF(26146,26153) = 1

We will now calculate the prime factors of 26146 and 26153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26146 and 26153.

How to find the GCF of 26146 and 26153?

We will first find the prime factorization of 26146 and 26153. After we will calculate the factors of 26146 and 26153 and find the biggest common factor number .

Step-1: Prime Factorization of 26146

Prime factors of 26146 are 2, 17, 769. Prime factorization of 26146 in exponential form is:

26146 = 2¹ × 17¹ × 769¹

Step-2: Prime Factorization of 26153

Prime factors of 26153 are 26153. Prime factorization of 26153 in exponential form is:

26153 = 26153¹

Step-3: Factors of 26146

List of positive integer factors of 26146 that divides 26146 without a remainder.

1, 2, 17, 34, 769, 1538, 13073

Step-4: Factors of 26153

List of positive integer factors of 26153 that divides 26146 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26146 and 26153. The biggest common factor number is the GCF number.
So the greatest common factor 26146 and 26153 is 1.

Also check out the Least Common Multiple of 26146 and 26153