What is the Greatest Common Factor of 26825 and 26830?

Greatest common factor (GCF) of 26825 and 26830 is 5.

GCF(26825,26830) = 5

We will now calculate the prime factors of 26825 and 26830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26825 and 26830.

How to find the GCF of 26825 and 26830?

We will first find the prime factorization of 26825 and 26830. After we will calculate the factors of 26825 and 26830 and find the biggest common factor number .

Step-1: Prime Factorization of 26825

Prime factors of 26825 are 5, 29, 37. Prime factorization of 26825 in exponential form is:

26825 = 5² × 29¹ × 37¹

Step-2: Prime Factorization of 26830

Prime factors of 26830 are 2, 5, 2683. Prime factorization of 26830 in exponential form is:

26830 = 2¹ × 5¹ × 2683¹

Step-3: Factors of 26825

List of positive integer factors of 26825 that divides 26825 without a remainder.

1, 5, 25, 29, 37, 145, 185, 725, 925, 1073, 5365

Step-4: Factors of 26830

List of positive integer factors of 26830 that divides 26825 without a remainder.

1, 2, 5, 10, 2683, 5366, 13415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26825 and 26830. The biggest common factor number is the GCF number.
So the greatest common factor 26825 and 26830 is 5.

Also check out the Least Common Multiple of 26825 and 26830