What is the Greatest Common Factor of 26341 and 26348?

Greatest common factor (GCF) of 26341 and 26348 is 7.

GCF(26341,26348) = 7

We will now calculate the prime factors of 26341 and 26348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26341 and 26348.

How to find the GCF of 26341 and 26348?

We will first find the prime factorization of 26341 and 26348. After we will calculate the factors of 26341 and 26348 and find the biggest common factor number .

Step-1: Prime Factorization of 26341

Prime factors of 26341 are 7, 53, 71. Prime factorization of 26341 in exponential form is:

26341 = 7¹ × 53¹ × 71¹

Step-2: Prime Factorization of 26348

Prime factors of 26348 are 2, 7, 941. Prime factorization of 26348 in exponential form is:

26348 = 2² × 7¹ × 941¹

Step-3: Factors of 26341

List of positive integer factors of 26341 that divides 26341 without a remainder.

1, 7, 53, 71, 371, 497, 3763

Step-4: Factors of 26348

List of positive integer factors of 26348 that divides 26341 without a remainder.

1, 2, 4, 7, 14, 28, 941, 1882, 3764, 6587, 13174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26341 and 26348. The biggest common factor number is the GCF number.
So the greatest common factor 26341 and 26348 is 7.

Also check out the Least Common Multiple of 26341 and 26348