What is the Greatest Common Factor of 66140 and 66160?

Greatest common factor (GCF) of 66140 and 66160 is 20.

GCF(66140,66160) = 20

We will now calculate the prime factors of 66140 and 66160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66140 and 66160.

How to find the GCF of 66140 and 66160?

We will first find the prime factorization of 66140 and 66160. After we will calculate the factors of 66140 and 66160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 2⁴ × 5¹ × 827¹

Step-3: Factors of 66140

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

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

Step-4: Factors of 66160

List of positive integer factors of 66160 that divides 66140 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 827, 1654, 3308, 4135, 6616, 8270, 13232, 16540, 33080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66140 and 66160. The biggest common factor number is the GCF number.
So the greatest common factor 66140 and 66160 is 20.

Also check out the Least Common Multiple of 66140 and 66160