What is the Greatest Common Factor of 67706 and 67718?

Greatest common factor (GCF) of 67706 and 67718 is 2.

GCF(67706,67718) = 2

We will now calculate the prime factors of 67706 and 67718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67706 and 67718.

How to find the GCF of 67706 and 67718?

We will first find the prime factorization of 67706 and 67718. After we will calculate the factors of 67706 and 67718 and find the biggest common factor number .

Step-1: Prime Factorization of 67706

Prime factors of 67706 are 2, 97, 349. Prime factorization of 67706 in exponential form is:

67706 = 2¹ × 97¹ × 349¹

Step-2: Prime Factorization of 67718

Prime factors of 67718 are 2, 7, 691. Prime factorization of 67718 in exponential form is:

67718 = 2¹ × 7² × 691¹

Step-3: Factors of 67706

List of positive integer factors of 67706 that divides 67706 without a remainder.

1, 2, 97, 194, 349, 698, 33853

Step-4: Factors of 67718

List of positive integer factors of 67718 that divides 67706 without a remainder.

1, 2, 7, 14, 49, 98, 691, 1382, 4837, 9674, 33859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67706 and 67718. The biggest common factor number is the GCF number.
So the greatest common factor 67706 and 67718 is 2.

Also check out the Least Common Multiple of 67706 and 67718