What is the Greatest Common Factor of 67734 and 67748?

Greatest common factor (GCF) of 67734 and 67748 is 2.

GCF(67734,67748) = 2

We will now calculate the prime factors of 67734 and 67748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67734 and 67748.

How to find the GCF of 67734 and 67748?

We will first find the prime factorization of 67734 and 67748. After we will calculate the factors of 67734 and 67748 and find the biggest common factor number .

Step-1: Prime Factorization of 67734

Prime factors of 67734 are 2, 3, 53, 71. Prime factorization of 67734 in exponential form is:

67734 = 2¹ × 3² × 53¹ × 71¹

Step-2: Prime Factorization of 67748

Prime factors of 67748 are 2, 16937. Prime factorization of 67748 in exponential form is:

67748 = 2² × 16937¹

Step-3: Factors of 67734

List of positive integer factors of 67734 that divides 67734 without a remainder.

1, 2, 3, 6, 9, 18, 53, 71, 106, 142, 159, 213, 318, 426, 477, 639, 954, 1278, 3763, 7526, 11289, 22578, 33867

Step-4: Factors of 67748

List of positive integer factors of 67748 that divides 67734 without a remainder.

1, 2, 4, 16937, 33874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67734 and 67748. The biggest common factor number is the GCF number.
So the greatest common factor 67734 and 67748 is 2.

Also check out the Least Common Multiple of 67734 and 67748