What is the Greatest Common Factor of 26649 and 26658?

Greatest common factor (GCF) of 26649 and 26658 is 9.

GCF(26649,26658) = 9

We will now calculate the prime factors of 26649 and 26658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26649 and 26658.

How to find the GCF of 26649 and 26658?

We will first find the prime factorization of 26649 and 26658. After we will calculate the factors of 26649 and 26658 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 26658

Prime factors of 26658 are 2, 3, 1481. Prime factorization of 26658 in exponential form is:

26658 = 2¹ × 3² × 1481¹

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 26658

List of positive integer factors of 26658 that divides 26649 without a remainder.

1, 2, 3, 6, 9, 18, 1481, 2962, 4443, 8886, 13329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26649 and 26658. The biggest common factor number is the GCF number.
So the greatest common factor 26649 and 26658 is 9.

Also check out the Least Common Multiple of 26649 and 26658