What is the Greatest Common Factor of 66814 and 66820?

Greatest common factor (GCF) of 66814 and 66820 is 2.

GCF(66814,66820) = 2

We will now calculate the prime factors of 66814 and 66820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66814 and 66820.

How to find the GCF of 66814 and 66820?

We will first find the prime factorization of 66814 and 66820. After we will calculate the factors of 66814 and 66820 and find the biggest common factor number .

Step-1: Prime Factorization of 66814

Prime factors of 66814 are 2, 11, 3037. Prime factorization of 66814 in exponential form is:

66814 = 2¹ × 11¹ × 3037¹

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 66814

List of positive integer factors of 66814 that divides 66814 without a remainder.

1, 2, 11, 22, 3037, 6074, 33407

Step-4: Factors of 66820

List of positive integer factors of 66820 that divides 66814 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 66814 and 66820. The biggest common factor number is the GCF number.
So the greatest common factor 66814 and 66820 is 2.

Also check out the Least Common Multiple of 66814 and 66820