What is the Greatest Common Factor of 26537 and 26553?

Greatest common factor (GCF) of 26537 and 26553 is 1.

GCF(26537,26553) = 1

We will now calculate the prime factors of 26537 and 26553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26537 and 26553.

How to find the GCF of 26537 and 26553?

We will first find the prime factorization of 26537 and 26553. After we will calculate the factors of 26537 and 26553 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 26553

Prime factors of 26553 are 3, 53, 167. Prime factorization of 26553 in exponential form is:

26553 = 3¹ × 53¹ × 167¹

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 26553

List of positive integer factors of 26553 that divides 26537 without a remainder.

1, 3, 53, 159, 167, 501, 8851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26537 and 26553. The biggest common factor number is the GCF number.
So the greatest common factor 26537 and 26553 is 1.

Also check out the Least Common Multiple of 26537 and 26553