What is the Greatest Common Factor of 26359 and 26372?

Greatest common factor (GCF) of 26359 and 26372 is 1.

GCF(26359,26372) = 1

We will now calculate the prime factors of 26359 and 26372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26359 and 26372.

How to find the GCF of 26359 and 26372?

We will first find the prime factorization of 26359 and 26372. After we will calculate the factors of 26359 and 26372 and find the biggest common factor number .

Step-1: Prime Factorization of 26359

Prime factors of 26359 are 43, 613. Prime factorization of 26359 in exponential form is:

26359 = 43¹ × 613¹

Step-2: Prime Factorization of 26372

Prime factors of 26372 are 2, 19, 347. Prime factorization of 26372 in exponential form is:

26372 = 2² × 19¹ × 347¹

Step-3: Factors of 26359

List of positive integer factors of 26359 that divides 26359 without a remainder.

1, 43, 613

Step-4: Factors of 26372

List of positive integer factors of 26372 that divides 26359 without a remainder.

1, 2, 4, 19, 38, 76, 347, 694, 1388, 6593, 13186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26359 and 26372. The biggest common factor number is the GCF number.
So the greatest common factor 26359 and 26372 is 1.

Also check out the Least Common Multiple of 26359 and 26372