What is the Greatest Common Factor of 67934 and 67947?

Greatest common factor (GCF) of 67934 and 67947 is 1.

GCF(67934,67947) = 1

We will now calculate the prime factors of 67934 and 67947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67934 and 67947.

How to find the GCF of 67934 and 67947?

We will first find the prime factorization of 67934 and 67947. After we will calculate the factors of 67934 and 67947 and find the biggest common factor number .

Step-1: Prime Factorization of 67934

Prime factors of 67934 are 2, 33967. Prime factorization of 67934 in exponential form is:

67934 = 2¹ × 33967¹

Step-2: Prime Factorization of 67947

Prime factors of 67947 are 3, 11, 29, 71. Prime factorization of 67947 in exponential form is:

67947 = 3¹ × 11¹ × 29¹ × 71¹

Step-3: Factors of 67934

List of positive integer factors of 67934 that divides 67934 without a remainder.

1, 2, 33967

Step-4: Factors of 67947

List of positive integer factors of 67947 that divides 67934 without a remainder.

1, 3, 11, 29, 33, 71, 87, 213, 319, 781, 957, 2059, 2343, 6177, 22649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67934 and 67947. The biggest common factor number is the GCF number.
So the greatest common factor 67934 and 67947 is 1.

Also check out the Least Common Multiple of 67934 and 67947