What is the Greatest Common Factor of 26609 and 26620?

Greatest common factor (GCF) of 26609 and 26620 is 11.

GCF(26609,26620) = 11

We will now calculate the prime factors of 26609 and 26620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26609 and 26620.

How to find the GCF of 26609 and 26620?

We will first find the prime factorization of 26609 and 26620. After we will calculate the factors of 26609 and 26620 and find the biggest common factor number .

Step-1: Prime Factorization of 26609

Prime factors of 26609 are 11, 41, 59. Prime factorization of 26609 in exponential form is:

26609 = 11¹ × 41¹ × 59¹

Step-2: Prime Factorization of 26620

Prime factors of 26620 are 2, 5, 11. Prime factorization of 26620 in exponential form is:

26620 = 2² × 5¹ × 11³

Step-3: Factors of 26609

List of positive integer factors of 26609 that divides 26609 without a remainder.

1, 11, 41, 59, 451, 649, 2419

Step-4: Factors of 26620

List of positive integer factors of 26620 that divides 26609 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 1331, 2420, 2662, 5324, 6655, 13310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26609 and 26620. The biggest common factor number is the GCF number.
So the greatest common factor 26609 and 26620 is 11.

Also check out the Least Common Multiple of 26609 and 26620