What is the Greatest Common Factor of 66800 and 66820?

Greatest common factor (GCF) of 66800 and 66820 is 20.

GCF(66800,66820) = 20

We will now calculate the prime factors of 66800 and 66820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66800 and 66820.

How to find the GCF of 66800 and 66820?

We will first find the prime factorization of 66800 and 66820. After we will calculate the factors of 66800 and 66820 and find the biggest common factor number .

Step-1: Prime Factorization of 66800

Prime factors of 66800 are 2, 5, 167. Prime factorization of 66800 in exponential form is:

66800 = 2⁴ × 5² × 167¹

Step-2: Prime Factorization of 66820

Prime factors of 66820 are 2, 5, 13, 257. Prime factorization of 66820 in exponential form is:

66820 = 2² × 5¹ × 13¹ × 257¹

Step-3: Factors of 66800

List of positive integer factors of 66800 that divides 66800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 167, 200, 334, 400, 668, 835, 1336, 1670, 2672, 3340, 4175, 6680, 8350, 13360, 16700, 33400

Step-4: Factors of 66820

List of positive integer factors of 66820 that divides 66800 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 257, 260, 514, 1028, 1285, 2570, 3341, 5140, 6682, 13364, 16705, 33410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66800 and 66820. The biggest common factor number is the GCF number.
So the greatest common factor 66800 and 66820 is 20.

Also check out the Least Common Multiple of 66800 and 66820