What is the Greatest Common Factor of 26544 and 26558?

Greatest common factor (GCF) of 26544 and 26558 is 14.

GCF(26544,26558) = 14

We will now calculate the prime factors of 26544 and 26558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26544 and 26558.

How to find the GCF of 26544 and 26558?

We will first find the prime factorization of 26544 and 26558. After we will calculate the factors of 26544 and 26558 and find the biggest common factor number .

Step-1: Prime Factorization of 26544

Prime factors of 26544 are 2, 3, 7, 79. Prime factorization of 26544 in exponential form is:

26544 = 2⁴ × 3¹ × 7¹ × 79¹

Step-2: Prime Factorization of 26558

Prime factors of 26558 are 2, 7, 271. Prime factorization of 26558 in exponential form is:

26558 = 2¹ × 7² × 271¹

Step-3: Factors of 26544

List of positive integer factors of 26544 that divides 26544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 79, 84, 112, 158, 168, 237, 316, 336, 474, 553, 632, 948, 1106, 1264, 1659, 1896, 2212, 3318, 3792, 4424, 6636, 8848, 13272

Step-4: Factors of 26558

List of positive integer factors of 26558 that divides 26544 without a remainder.

1, 2, 7, 14, 49, 98, 271, 542, 1897, 3794, 13279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26544 and 26558. The biggest common factor number is the GCF number.
So the greatest common factor 26544 and 26558 is 14.

Also check out the Least Common Multiple of 26544 and 26558