What is the Greatest Common Factor of 51666 and 51674?

Greatest common factor (GCF) of 51666 and 51674 is 2.

GCF(51666,51674) = 2

We will now calculate the prime factors of 51666 and 51674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51666 and 51674.

How to find the GCF of 51666 and 51674?

We will first find the prime factorization of 51666 and 51674. After we will calculate the factors of 51666 and 51674 and find the biggest common factor number .

Step-1: Prime Factorization of 51666

Prime factors of 51666 are 2, 3, 79, 109. Prime factorization of 51666 in exponential form is:

51666 = 2¹ × 3¹ × 79¹ × 109¹

Step-2: Prime Factorization of 51674

Prime factors of 51674 are 2, 7, 3691. Prime factorization of 51674 in exponential form is:

51674 = 2¹ × 7¹ × 3691¹

Step-3: Factors of 51666

List of positive integer factors of 51666 that divides 51666 without a remainder.

1, 2, 3, 6, 79, 109, 158, 218, 237, 327, 474, 654, 8611, 17222, 25833

Step-4: Factors of 51674

List of positive integer factors of 51674 that divides 51666 without a remainder.

1, 2, 7, 14, 3691, 7382, 25837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51666 and 51674. The biggest common factor number is the GCF number.
So the greatest common factor 51666 and 51674 is 2.

Also check out the Least Common Multiple of 51666 and 51674