What is the Greatest Common Factor of 26194 and 26201?

Greatest common factor (GCF) of 26194 and 26201 is 7.

GCF(26194,26201) = 7

We will now calculate the prime factors of 26194 and 26201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26194 and 26201.

How to find the GCF of 26194 and 26201?

We will first find the prime factorization of 26194 and 26201. After we will calculate the factors of 26194 and 26201 and find the biggest common factor number .

Step-1: Prime Factorization of 26194

Prime factors of 26194 are 2, 7, 1871. Prime factorization of 26194 in exponential form is:

26194 = 2¹ × 7¹ × 1871¹

Step-2: Prime Factorization of 26201

Prime factors of 26201 are 7, 19, 197. Prime factorization of 26201 in exponential form is:

26201 = 7¹ × 19¹ × 197¹

Step-3: Factors of 26194

List of positive integer factors of 26194 that divides 26194 without a remainder.

1, 2, 7, 14, 1871, 3742, 13097

Step-4: Factors of 26201

List of positive integer factors of 26201 that divides 26194 without a remainder.

1, 7, 19, 133, 197, 1379, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26194 and 26201. The biggest common factor number is the GCF number.
So the greatest common factor 26194 and 26201 is 7.

Also check out the Least Common Multiple of 26194 and 26201