What is the Greatest Common Factor of 66674 and 66684?

Greatest common factor (GCF) of 66674 and 66684 is 2.

GCF(66674,66684) = 2

We will now calculate the prime factors of 66674 and 66684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66674 and 66684.

How to find the GCF of 66674 and 66684?

We will first find the prime factorization of 66674 and 66684. After we will calculate the factors of 66674 and 66684 and find the biggest common factor number .

Step-1: Prime Factorization of 66674

Prime factors of 66674 are 2, 17, 37, 53. Prime factorization of 66674 in exponential form is:

66674 = 2¹ × 17¹ × 37¹ × 53¹

Step-2: Prime Factorization of 66684

Prime factors of 66684 are 2, 3, 5557. Prime factorization of 66684 in exponential form is:

66684 = 2² × 3¹ × 5557¹

Step-3: Factors of 66674

List of positive integer factors of 66674 that divides 66674 without a remainder.

1, 2, 17, 34, 37, 53, 74, 106, 629, 901, 1258, 1802, 1961, 3922, 33337

Step-4: Factors of 66684

List of positive integer factors of 66684 that divides 66674 without a remainder.

1, 2, 3, 4, 6, 12, 5557, 11114, 16671, 22228, 33342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66674 and 66684. The biggest common factor number is the GCF number.
So the greatest common factor 66674 and 66684 is 2.

Also check out the Least Common Multiple of 66674 and 66684