What is the Greatest Common Factor of 26536 and 26548?

Greatest common factor (GCF) of 26536 and 26548 is 4.

GCF(26536,26548) = 4

We will now calculate the prime factors of 26536 and 26548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26536 and 26548.

How to find the GCF of 26536 and 26548?

We will first find the prime factorization of 26536 and 26548. After we will calculate the factors of 26536 and 26548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26548

Prime factors of 26548 are 2, 6637. Prime factorization of 26548 in exponential form is:

26548 = 2² × 6637¹

Step-3: Factors of 26536

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

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

Step-4: Factors of 26548

List of positive integer factors of 26548 that divides 26536 without a remainder.

1, 2, 4, 6637, 13274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26536 and 26548. The biggest common factor number is the GCF number.
So the greatest common factor 26536 and 26548 is 4.

Also check out the Least Common Multiple of 26536 and 26548