What is the Greatest Common Factor of 66674 and 66691?

Greatest common factor (GCF) of 66674 and 66691 is 17.

GCF(66674,66691) = 17

We will now calculate the prime factors of 66674 and 66691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66674 and 66691.

How to find the GCF of 66674 and 66691?

We will first find the prime factorization of 66674 and 66691. After we will calculate the factors of 66674 and 66691 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 66691

Prime factors of 66691 are 17, 3923. Prime factorization of 66691 in exponential form is:

66691 = 17¹ × 3923¹

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 66691

List of positive integer factors of 66691 that divides 66674 without a remainder.

1, 17, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66674 and 66691. The biggest common factor number is the GCF number.
So the greatest common factor 66674 and 66691 is 17.

Also check out the Least Common Multiple of 66674 and 66691