What is the Greatest Common Factor of 26538 and 26552?

Greatest common factor (GCF) of 26538 and 26552 is 2.

GCF(26538,26552) = 2

We will now calculate the prime factors of 26538 and 26552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26538 and 26552.

How to find the GCF of 26538 and 26552?

We will first find the prime factorization of 26538 and 26552. After we will calculate the factors of 26538 and 26552 and find the biggest common factor number .

Step-1: Prime Factorization of 26538

Prime factors of 26538 are 2, 3, 4423. Prime factorization of 26538 in exponential form is:

26538 = 2¹ × 3¹ × 4423¹

Step-2: Prime Factorization of 26552

Prime factors of 26552 are 2, 3319. Prime factorization of 26552 in exponential form is:

26552 = 2³ × 3319¹

Step-3: Factors of 26538

List of positive integer factors of 26538 that divides 26538 without a remainder.

1, 2, 3, 6, 4423, 8846, 13269

Step-4: Factors of 26552

List of positive integer factors of 26552 that divides 26538 without a remainder.

1, 2, 4, 8, 3319, 6638, 13276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26538 and 26552. The biggest common factor number is the GCF number.
So the greatest common factor 26538 and 26552 is 2.

Also check out the Least Common Multiple of 26538 and 26552