What is the Greatest Common Factor of 26645 and 26660?

Greatest common factor (GCF) of 26645 and 26660 is 5.

GCF(26645,26660) = 5

We will now calculate the prime factors of 26645 and 26660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26645 and 26660.

How to find the GCF of 26645 and 26660?

We will first find the prime factorization of 26645 and 26660. After we will calculate the factors of 26645 and 26660 and find the biggest common factor number .

Step-1: Prime Factorization of 26645

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

26645 = 5¹ × 73²

Step-2: Prime Factorization of 26660

Prime factors of 26660 are 2, 5, 31, 43. Prime factorization of 26660 in exponential form is:

26660 = 2² × 5¹ × 31¹ × 43¹

Step-3: Factors of 26645

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

1, 5, 73, 365, 5329

Step-4: Factors of 26660

List of positive integer factors of 26660 that divides 26645 without a remainder.

1, 2, 4, 5, 10, 20, 31, 43, 62, 86, 124, 155, 172, 215, 310, 430, 620, 860, 1333, 2666, 5332, 6665, 13330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26645 and 26660. The biggest common factor number is the GCF number.
So the greatest common factor 26645 and 26660 is 5.

Also check out the Least Common Multiple of 26645 and 26660