What is the Greatest Common Factor of 26630 and 26645?

Greatest common factor (GCF) of 26630 and 26645 is 5.

GCF(26630,26645) = 5

We will now calculate the prime factors of 26630 and 26645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26630 and 26645.

How to find the GCF of 26630 and 26645?

We will first find the prime factorization of 26630 and 26645. After we will calculate the factors of 26630 and 26645 and find the biggest common factor number .

Step-1: Prime Factorization of 26630

Prime factors of 26630 are 2, 5, 2663. Prime factorization of 26630 in exponential form is:

26630 = 2¹ × 5¹ × 2663¹

Step-2: Prime Factorization of 26645

Prime factors of 26645 are 5, 73. Prime factorization of 26645 in exponential form is:

26645 = 5¹ × 73²

Step-3: Factors of 26630

List of positive integer factors of 26630 that divides 26630 without a remainder.

1, 2, 5, 10, 2663, 5326, 13315

Step-4: Factors of 26645

List of positive integer factors of 26645 that divides 26630 without a remainder.

1, 5, 73, 365, 5329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26630 and 26645. The biggest common factor number is the GCF number.
So the greatest common factor 26630 and 26645 is 5.

Also check out the Least Common Multiple of 26630 and 26645