What is the Greatest Common Factor of 67666 and 67672?

Greatest common factor (GCF) of 67666 and 67672 is 2.

GCF(67666,67672) = 2

We will now calculate the prime factors of 67666 and 67672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67666 and 67672.

How to find the GCF of 67666 and 67672?

We will first find the prime factorization of 67666 and 67672. After we will calculate the factors of 67666 and 67672 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 67672

Prime factors of 67672 are 2, 11, 769. Prime factorization of 67672 in exponential form is:

67672 = 2³ × 11¹ × 769¹

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 67672

List of positive integer factors of 67672 that divides 67666 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 769, 1538, 3076, 6152, 8459, 16918, 33836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67666 and 67672. The biggest common factor number is the GCF number.
So the greatest common factor 67666 and 67672 is 2.

Also check out the Least Common Multiple of 67666 and 67672