What is the Greatest Common Factor of 67674 and 67688?

Greatest common factor (GCF) of 67674 and 67688 is 2.

GCF(67674,67688) = 2

We will now calculate the prime factors of 67674 and 67688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67674 and 67688.

How to find the GCF of 67674 and 67688?

We will first find the prime factorization of 67674 and 67688. After we will calculate the factors of 67674 and 67688 and find the biggest common factor number .

Step-1: Prime Factorization of 67674

Prime factors of 67674 are 2, 3, 11279. Prime factorization of 67674 in exponential form is:

67674 = 2¹ × 3¹ × 11279¹

Step-2: Prime Factorization of 67688

Prime factors of 67688 are 2, 8461. Prime factorization of 67688 in exponential form is:

67688 = 2³ × 8461¹

Step-3: Factors of 67674

List of positive integer factors of 67674 that divides 67674 without a remainder.

1, 2, 3, 6, 11279, 22558, 33837

Step-4: Factors of 67688

List of positive integer factors of 67688 that divides 67674 without a remainder.

1, 2, 4, 8, 8461, 16922, 33844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67674 and 67688. The biggest common factor number is the GCF number.
So the greatest common factor 67674 and 67688 is 2.

Also check out the Least Common Multiple of 67674 and 67688