What is the Greatest Common Factor of 66774 and 66788?

Greatest common factor (GCF) of 66774 and 66788 is 2.

GCF(66774,66788) = 2

We will now calculate the prime factors of 66774 and 66788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66774 and 66788.

How to find the GCF of 66774 and 66788?

We will first find the prime factorization of 66774 and 66788. After we will calculate the factors of 66774 and 66788 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 66788

Prime factors of 66788 are 2, 59, 283. Prime factorization of 66788 in exponential form is:

66788 = 2² × 59¹ × 283¹

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 66788

List of positive integer factors of 66788 that divides 66774 without a remainder.

1, 2, 4, 59, 118, 236, 283, 566, 1132, 16697, 33394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66774 and 66788. The biggest common factor number is the GCF number.
So the greatest common factor 66774 and 66788 is 2.

Also check out the Least Common Multiple of 66774 and 66788