What is the Greatest Common Factor of 66774 and 66785?

Greatest common factor (GCF) of 66774 and 66785 is 1.

GCF(66774,66785) = 1

We will now calculate the prime factors of 66774 and 66785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66774 and 66785.

How to find the GCF of 66774 and 66785?

We will first find the prime factorization of 66774 and 66785. After we will calculate the factors of 66774 and 66785 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 66785

Prime factors of 66785 are 5, 19, 37. Prime factorization of 66785 in exponential form is:

66785 = 5¹ × 19² × 37¹

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 66785

List of positive integer factors of 66785 that divides 66774 without a remainder.

1, 5, 19, 37, 95, 185, 361, 703, 1805, 3515, 13357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66774 and 66785. The biggest common factor number is the GCF number.
So the greatest common factor 66774 and 66785 is 1.

Also check out the Least Common Multiple of 66774 and 66785