What is the Greatest Common Factor of 66754 and 66770?

Greatest common factor (GCF) of 66754 and 66770 is 2.

GCF(66754,66770) = 2

We will now calculate the prime factors of 66754 and 66770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66754 and 66770.

How to find the GCF of 66754 and 66770?

We will first find the prime factorization of 66754 and 66770. After we will calculate the factors of 66754 and 66770 and find the biggest common factor number .

Step-1: Prime Factorization of 66754

Prime factors of 66754 are 2, 33377. Prime factorization of 66754 in exponential form is:

66754 = 2¹ × 33377¹

Step-2: Prime Factorization of 66770

Prime factors of 66770 are 2, 5, 11, 607. Prime factorization of 66770 in exponential form is:

66770 = 2¹ × 5¹ × 11¹ × 607¹

Step-3: Factors of 66754

List of positive integer factors of 66754 that divides 66754 without a remainder.

1, 2, 33377

Step-4: Factors of 66770

List of positive integer factors of 66770 that divides 66754 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 607, 1214, 3035, 6070, 6677, 13354, 33385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66754 and 66770. The biggest common factor number is the GCF number.
So the greatest common factor 66754 and 66770 is 2.

Also check out the Least Common Multiple of 66754 and 66770