What is the Greatest Common Factor of 26642 and 26649?

Greatest common factor (GCF) of 26642 and 26649 is 7.

GCF(26642,26649) = 7

We will now calculate the prime factors of 26642 and 26649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26642 and 26649.

How to find the GCF of 26642 and 26649?

We will first find the prime factorization of 26642 and 26649. After we will calculate the factors of 26642 and 26649 and find the biggest common factor number .

Step-1: Prime Factorization of 26642

Prime factors of 26642 are 2, 7, 11, 173. Prime factorization of 26642 in exponential form is:

26642 = 2¹ × 7¹ × 11¹ × 173¹

Step-2: 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-3: Factors of 26642

List of positive integer factors of 26642 that divides 26642 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 173, 346, 1211, 1903, 2422, 3806, 13321

Step-4: Factors of 26649

List of positive integer factors of 26649 that divides 26642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26642 and 26649. The biggest common factor number is the GCF number.
So the greatest common factor 26642 and 26649 is 7.

Also check out the Least Common Multiple of 26642 and 26649