What is the Greatest Common Factor of 66674 and 66678?

Greatest common factor (GCF) of 66674 and 66678 is 2.

GCF(66674,66678) = 2

We will now calculate the prime factors of 66674 and 66678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66674 and 66678.

How to find the GCF of 66674 and 66678?

We will first find the prime factorization of 66674 and 66678. After we will calculate the factors of 66674 and 66678 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 66678

Prime factors of 66678 are 2, 3, 11113. Prime factorization of 66678 in exponential form is:

66678 = 2¹ × 3¹ × 11113¹

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 66678

List of positive integer factors of 66678 that divides 66674 without a remainder.

1, 2, 3, 6, 11113, 22226, 33339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66674 and 66678. The biggest common factor number is the GCF number.
So the greatest common factor 66674 and 66678 is 2.

Also check out the Least Common Multiple of 66674 and 66678