What is the Greatest Common Factor of 26535 and 26544?

Greatest common factor (GCF) of 26535 and 26544 is 3.

GCF(26535,26544) = 3

We will now calculate the prime factors of 26535 and 26544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26535 and 26544.

How to find the GCF of 26535 and 26544?

We will first find the prime factorization of 26535 and 26544. After we will calculate the factors of 26535 and 26544 and find the biggest common factor number .

Step-1: Prime Factorization of 26535

Prime factors of 26535 are 3, 5, 29, 61. Prime factorization of 26535 in exponential form is:

26535 = 3¹ × 5¹ × 29¹ × 61¹

Step-2: 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-3: Factors of 26535

List of positive integer factors of 26535 that divides 26535 without a remainder.

1, 3, 5, 15, 29, 61, 87, 145, 183, 305, 435, 915, 1769, 5307, 8845

Step-4: Factors of 26544

List of positive integer factors of 26544 that divides 26535 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26535 and 26544. The biggest common factor number is the GCF number.
So the greatest common factor 26535 and 26544 is 3.

Also check out the Least Common Multiple of 26535 and 26544