What is the Greatest Common Factor of 66135 and 66140?

Greatest common factor (GCF) of 66135 and 66140 is 5.

GCF(66135,66140) = 5

We will now calculate the prime factors of 66135 and 66140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66135 and 66140.

How to find the GCF of 66135 and 66140?

We will first find the prime factorization of 66135 and 66140. After we will calculate the factors of 66135 and 66140 and find the biggest common factor number .

Step-1: Prime Factorization of 66135

Prime factors of 66135 are 3, 5, 4409. Prime factorization of 66135 in exponential form is:

66135 = 3¹ × 5¹ × 4409¹

Step-2: Prime Factorization of 66140

Prime factors of 66140 are 2, 5, 3307. Prime factorization of 66140 in exponential form is:

66140 = 2² × 5¹ × 3307¹

Step-3: Factors of 66135

List of positive integer factors of 66135 that divides 66135 without a remainder.

1, 3, 5, 15, 4409, 13227, 22045

Step-4: Factors of 66140

List of positive integer factors of 66140 that divides 66135 without a remainder.

1, 2, 4, 5, 10, 20, 3307, 6614, 13228, 16535, 33070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66135 and 66140. The biggest common factor number is the GCF number.
So the greatest common factor 66135 and 66140 is 5.

Also check out the Least Common Multiple of 66135 and 66140