What is the Greatest Common Factor of 26605 and 26620?

Greatest common factor (GCF) of 26605 and 26620 is 5.

GCF(26605,26620) = 5

We will now calculate the prime factors of 26605 and 26620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26605 and 26620.

How to find the GCF of 26605 and 26620?

We will first find the prime factorization of 26605 and 26620. After we will calculate the factors of 26605 and 26620 and find the biggest common factor number .

Step-1: Prime Factorization of 26605

Prime factors of 26605 are 5, 17, 313. Prime factorization of 26605 in exponential form is:

26605 = 5¹ × 17¹ × 313¹

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 26605

List of positive integer factors of 26605 that divides 26605 without a remainder.

1, 5, 17, 85, 313, 1565, 5321

Step-4: Factors of 26620

List of positive integer factors of 26620 that divides 26605 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 26605 and 26620. The biggest common factor number is the GCF number.
So the greatest common factor 26605 and 26620 is 5.

Also check out the Least Common Multiple of 26605 and 26620