What is the Greatest Common Factor of 26522 and 26536?

Greatest common factor (GCF) of 26522 and 26536 is 2.

GCF(26522,26536) = 2

We will now calculate the prime factors of 26522 and 26536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26522 and 26536.

How to find the GCF of 26522 and 26536?

We will first find the prime factorization of 26522 and 26536. After we will calculate the factors of 26522 and 26536 and find the biggest common factor number .

Step-1: Prime Factorization of 26522

Prime factors of 26522 are 2, 89, 149. Prime factorization of 26522 in exponential form is:

26522 = 2¹ × 89¹ × 149¹

Step-2: Prime Factorization of 26536

Prime factors of 26536 are 2, 31, 107. Prime factorization of 26536 in exponential form is:

26536 = 2³ × 31¹ × 107¹

Step-3: Factors of 26522

List of positive integer factors of 26522 that divides 26522 without a remainder.

1, 2, 89, 149, 178, 298, 13261

Step-4: Factors of 26536

List of positive integer factors of 26536 that divides 26522 without a remainder.

1, 2, 4, 8, 31, 62, 107, 124, 214, 248, 428, 856, 3317, 6634, 13268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26522 and 26536. The biggest common factor number is the GCF number.
So the greatest common factor 26522 and 26536 is 2.

Also check out the Least Common Multiple of 26522 and 26536