What is the Greatest Common Factor of 26509 and 26526?

Greatest common factor (GCF) of 26509 and 26526 is 1.

GCF(26509,26526) = 1

We will now calculate the prime factors of 26509 and 26526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26509 and 26526.

How to find the GCF of 26509 and 26526?

We will first find the prime factorization of 26509 and 26526. After we will calculate the factors of 26509 and 26526 and find the biggest common factor number .

Step-1: Prime Factorization of 26509

Prime factors of 26509 are 7, 541. Prime factorization of 26509 in exponential form is:

26509 = 7² × 541¹

Step-2: Prime Factorization of 26526

Prime factors of 26526 are 2, 3, 4421. Prime factorization of 26526 in exponential form is:

26526 = 2¹ × 3¹ × 4421¹

Step-3: Factors of 26509

List of positive integer factors of 26509 that divides 26509 without a remainder.

1, 7, 49, 541, 3787

Step-4: Factors of 26526

List of positive integer factors of 26526 that divides 26509 without a remainder.

1, 2, 3, 6, 4421, 8842, 13263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26509 and 26526. The biggest common factor number is the GCF number.
So the greatest common factor 26509 and 26526 is 1.

Also check out the Least Common Multiple of 26509 and 26526