What is the Greatest Common Factor of 66774 and 66786?

Greatest common factor (GCF) of 66774 and 66786 is 6.

GCF(66774,66786) = 6

We will now calculate the prime factors of 66774 and 66786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66774 and 66786.

How to find the GCF of 66774 and 66786?

We will first find the prime factorization of 66774 and 66786. After we will calculate the factors of 66774 and 66786 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 66786

Prime factors of 66786 are 2, 3, 11131. Prime factorization of 66786 in exponential form is:

66786 = 2¹ × 3¹ × 11131¹

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 66786

List of positive integer factors of 66786 that divides 66774 without a remainder.

1, 2, 3, 6, 11131, 22262, 33393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66774 and 66786. The biggest common factor number is the GCF number.
So the greatest common factor 66774 and 66786 is 6.

Also check out the Least Common Multiple of 66774 and 66786