What is the Greatest Common Factor of 66774 and 66778?

Greatest common factor (GCF) of 66774 and 66778 is 2.

GCF(66774,66778) = 2

We will now calculate the prime factors of 66774 and 66778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66774 and 66778.

How to find the GCF of 66774 and 66778?

We will first find the prime factorization of 66774 and 66778. After we will calculate the factors of 66774 and 66778 and find the biggest common factor number .

Step-1: Prime Factorization of 66774

Prime factors of 66774 are 2, 3, 31, 359. Prime factorization of 66774 in exponential form is:

66774 = 2¹ × 3¹ × 31¹ × 359¹

Step-2: Prime Factorization of 66778

Prime factors of 66778 are 2, 173, 193. Prime factorization of 66778 in exponential form is:

66778 = 2¹ × 173¹ × 193¹

Step-3: Factors of 66774

List of positive integer factors of 66774 that divides 66774 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 359, 718, 1077, 2154, 11129, 22258, 33387

Step-4: Factors of 66778

List of positive integer factors of 66778 that divides 66774 without a remainder.

1, 2, 173, 193, 346, 386, 33389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66774 and 66778. The biggest common factor number is the GCF number.
So the greatest common factor 66774 and 66778 is 2.

Also check out the Least Common Multiple of 66774 and 66778