What is the Greatest Common Factor of 26649 and 26664?

Greatest common factor (GCF) of 26649 and 26664 is 3.

GCF(26649,26664) = 3

We will now calculate the prime factors of 26649 and 26664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26649 and 26664.

How to find the GCF of 26649 and 26664?

We will first find the prime factorization of 26649 and 26664. After we will calculate the factors of 26649 and 26664 and find the biggest common factor number .

Step-1: Prime Factorization of 26649

Prime factors of 26649 are 3, 7, 47. Prime factorization of 26649 in exponential form is:

26649 = 3⁴ × 7¹ × 47¹

Step-2: Prime Factorization of 26664

Prime factors of 26664 are 2, 3, 11, 101. Prime factorization of 26664 in exponential form is:

26664 = 2³ × 3¹ × 11¹ × 101¹

Step-3: Factors of 26649

List of positive integer factors of 26649 that divides 26649 without a remainder.

1, 3, 7, 9, 21, 27, 47, 63, 81, 141, 189, 329, 423, 567, 987, 1269, 2961, 3807, 8883

Step-4: Factors of 26664

List of positive integer factors of 26664 that divides 26649 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 101, 132, 202, 264, 303, 404, 606, 808, 1111, 1212, 2222, 2424, 3333, 4444, 6666, 8888, 13332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26649 and 26664. The biggest common factor number is the GCF number.
So the greatest common factor 26649 and 26664 is 3.

Also check out the Least Common Multiple of 26649 and 26664