What is the Greatest Common Factor of 67666 and 67670?

Greatest common factor (GCF) of 67666 and 67670 is 2.

GCF(67666,67670) = 2

We will now calculate the prime factors of 67666 and 67670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67666 and 67670.

How to find the GCF of 67666 and 67670?

We will first find the prime factorization of 67666 and 67670. After we will calculate the factors of 67666 and 67670 and find the biggest common factor number .

Step-1: Prime Factorization of 67666

Prime factors of 67666 are 2, 23, 1471. Prime factorization of 67666 in exponential form is:

67666 = 2¹ × 23¹ × 1471¹

Step-2: Prime Factorization of 67670

Prime factors of 67670 are 2, 5, 67, 101. Prime factorization of 67670 in exponential form is:

67670 = 2¹ × 5¹ × 67¹ × 101¹

Step-3: Factors of 67666

List of positive integer factors of 67666 that divides 67666 without a remainder.

1, 2, 23, 46, 1471, 2942, 33833

Step-4: Factors of 67670

List of positive integer factors of 67670 that divides 67666 without a remainder.

1, 2, 5, 10, 67, 101, 134, 202, 335, 505, 670, 1010, 6767, 13534, 33835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67666 and 67670. The biggest common factor number is the GCF number.
So the greatest common factor 67666 and 67670 is 2.

Also check out the Least Common Multiple of 67666 and 67670