What is the Greatest Common Factor of 26524 and 26538?

Greatest common factor (GCF) of 26524 and 26538 is 2.

GCF(26524,26538) = 2

We will now calculate the prime factors of 26524 and 26538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26524 and 26538.

How to find the GCF of 26524 and 26538?

We will first find the prime factorization of 26524 and 26538. After we will calculate the factors of 26524 and 26538 and find the biggest common factor number .

Step-1: Prime Factorization of 26524

Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:

26524 = 2² × 19¹ × 349¹

Step-2: 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-3: Factors of 26524

List of positive integer factors of 26524 that divides 26524 without a remainder.

1, 2, 4, 19, 38, 76, 349, 698, 1396, 6631, 13262

Step-4: Factors of 26538

List of positive integer factors of 26538 that divides 26524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26524 and 26538. The biggest common factor number is the GCF number.
So the greatest common factor 26524 and 26538 is 2.

Also check out the Least Common Multiple of 26524 and 26538