What is the Greatest Common Factor of 26182 and 26201?

Greatest common factor (GCF) of 26182 and 26201 is 19.

GCF(26182,26201) = 19

We will now calculate the prime factors of 26182 and 26201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26182 and 26201.

How to find the GCF of 26182 and 26201?

We will first find the prime factorization of 26182 and 26201. After we will calculate the factors of 26182 and 26201 and find the biggest common factor number .

Step-1: Prime Factorization of 26182

Prime factors of 26182 are 2, 13, 19, 53. Prime factorization of 26182 in exponential form is:

26182 = 2¹ × 13¹ × 19¹ × 53¹

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 26182

List of positive integer factors of 26182 that divides 26182 without a remainder.

1, 2, 13, 19, 26, 38, 53, 106, 247, 494, 689, 1007, 1378, 2014, 13091

Step-4: Factors of 26201

List of positive integer factors of 26201 that divides 26182 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26182 and 26201. The biggest common factor number is the GCF number.
So the greatest common factor 26182 and 26201 is 19.

Also check out the Least Common Multiple of 26182 and 26201