What is the Greatest Common Factor of 26574 and 26584?

Greatest common factor (GCF) of 26574 and 26584 is 2.

GCF(26574,26584) = 2

We will now calculate the prime factors of 26574 and 26584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26574 and 26584.

How to find the GCF of 26574 and 26584?

We will first find the prime factorization of 26574 and 26584. After we will calculate the factors of 26574 and 26584 and find the biggest common factor number .

Step-1: Prime Factorization of 26574

Prime factors of 26574 are 2, 3, 43, 103. Prime factorization of 26574 in exponential form is:

26574 = 2¹ × 3¹ × 43¹ × 103¹

Step-2: Prime Factorization of 26584

Prime factors of 26584 are 2, 3323. Prime factorization of 26584 in exponential form is:

26584 = 2³ × 3323¹

Step-3: Factors of 26574

List of positive integer factors of 26574 that divides 26574 without a remainder.

1, 2, 3, 6, 43, 86, 103, 129, 206, 258, 309, 618, 4429, 8858, 13287

Step-4: Factors of 26584

List of positive integer factors of 26584 that divides 26574 without a remainder.

1, 2, 4, 8, 3323, 6646, 13292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26574 and 26584. The biggest common factor number is the GCF number.
So the greatest common factor 26574 and 26584 is 2.

Also check out the Least Common Multiple of 26574 and 26584