What is the Greatest Common Factor of 26725 and 26730?

Greatest common factor (GCF) of 26725 and 26730 is 5.

GCF(26725,26730) = 5

We will now calculate the prime factors of 26725 and 26730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26725 and 26730.

How to find the GCF of 26725 and 26730?

We will first find the prime factorization of 26725 and 26730. After we will calculate the factors of 26725 and 26730 and find the biggest common factor number .

Step-1: Prime Factorization of 26725

Prime factors of 26725 are 5, 1069. Prime factorization of 26725 in exponential form is:

26725 = 5² × 1069¹

Step-2: Prime Factorization of 26730

Prime factors of 26730 are 2, 3, 5, 11. Prime factorization of 26730 in exponential form is:

26730 = 2¹ × 3⁵ × 5¹ × 11¹

Step-3: Factors of 26725

List of positive integer factors of 26725 that divides 26725 without a remainder.

1, 5, 25, 1069, 5345

Step-4: Factors of 26730

List of positive integer factors of 26730 that divides 26725 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 243, 270, 297, 330, 405, 486, 495, 594, 810, 891, 990, 1215, 1485, 1782, 2430, 2673, 2970, 4455, 5346, 8910, 13365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26725 and 26730. The biggest common factor number is the GCF number.
So the greatest common factor 26725 and 26730 is 5.

Also check out the Least Common Multiple of 26725 and 26730