What is the Greatest Common Factor of 66775 and 66795?

Greatest common factor (GCF) of 66775 and 66795 is 5.

GCF(66775,66795) = 5

We will now calculate the prime factors of 66775 and 66795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66775 and 66795.

How to find the GCF of 66775 and 66795?

We will first find the prime factorization of 66775 and 66795. After we will calculate the factors of 66775 and 66795 and find the biggest common factor number .

Step-1: Prime Factorization of 66775

Prime factors of 66775 are 5, 2671. Prime factorization of 66775 in exponential form is:

66775 = 5² × 2671¹

Step-2: Prime Factorization of 66795

Prime factors of 66795 are 3, 5, 61, 73. Prime factorization of 66795 in exponential form is:

66795 = 3¹ × 5¹ × 61¹ × 73¹

Step-3: Factors of 66775

List of positive integer factors of 66775 that divides 66775 without a remainder.

1, 5, 25, 2671, 13355

Step-4: Factors of 66795

List of positive integer factors of 66795 that divides 66775 without a remainder.

1, 3, 5, 15, 61, 73, 183, 219, 305, 365, 915, 1095, 4453, 13359, 22265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66775 and 66795. The biggest common factor number is the GCF number.
So the greatest common factor 66775 and 66795 is 5.

Also check out the Least Common Multiple of 66775 and 66795