What is the Greatest Common Factor of 66674 and 66688?

Greatest common factor (GCF) of 66674 and 66688 is 2.

GCF(66674,66688) = 2

We will now calculate the prime factors of 66674 and 66688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66674 and 66688.

How to find the GCF of 66674 and 66688?

We will first find the prime factorization of 66674 and 66688. After we will calculate the factors of 66674 and 66688 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 66688

Prime factors of 66688 are 2, 521. Prime factorization of 66688 in exponential form is:

66688 = 2⁷ × 521¹

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 66688

List of positive integer factors of 66688 that divides 66674 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 521, 1042, 2084, 4168, 8336, 16672, 33344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66674 and 66688. The biggest common factor number is the GCF number.
So the greatest common factor 66674 and 66688 is 2.

Also check out the Least Common Multiple of 66674 and 66688