What is the Greatest Common Factor of 26537 and 26549?

Greatest common factor (GCF) of 26537 and 26549 is 1.

GCF(26537,26549) = 1

We will now calculate the prime factors of 26537 and 26549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26537 and 26549.

How to find the GCF of 26537 and 26549?

We will first find the prime factorization of 26537 and 26549. After we will calculate the factors of 26537 and 26549 and find the biggest common factor number .

Step-1: Prime Factorization of 26537

Prime factors of 26537 are 7, 17, 223. Prime factorization of 26537 in exponential form is:

26537 = 7¹ × 17¹ × 223¹

Step-2: Prime Factorization of 26549

Prime factors of 26549 are 139, 191. Prime factorization of 26549 in exponential form is:

26549 = 139¹ × 191¹

Step-3: Factors of 26537

List of positive integer factors of 26537 that divides 26537 without a remainder.

1, 7, 17, 119, 223, 1561, 3791

Step-4: Factors of 26549

List of positive integer factors of 26549 that divides 26537 without a remainder.

1, 139, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26537 and 26549. The biggest common factor number is the GCF number.
So the greatest common factor 26537 and 26549 is 1.

Also check out the Least Common Multiple of 26537 and 26549