What is the Greatest Common Factor of 26537 and 26554?

Greatest common factor (GCF) of 26537 and 26554 is 17.

GCF(26537,26554) = 17

We will now calculate the prime factors of 26537 and 26554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26537 and 26554.

How to find the GCF of 26537 and 26554?

We will first find the prime factorization of 26537 and 26554. After we will calculate the factors of 26537 and 26554 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 26554

Prime factors of 26554 are 2, 11, 17, 71. Prime factorization of 26554 in exponential form is:

26554 = 2¹ × 11¹ × 17¹ × 71¹

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 26554

List of positive integer factors of 26554 that divides 26537 without a remainder.

1, 2, 11, 17, 22, 34, 71, 142, 187, 374, 781, 1207, 1562, 2414, 13277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26537 and 26554. The biggest common factor number is the GCF number.
So the greatest common factor 26537 and 26554 is 17.

Also check out the Least Common Multiple of 26537 and 26554