What is the Greatest Common Factor of 67730 and 67742?

Greatest common factor (GCF) of 67730 and 67742 is 2.

GCF(67730,67742) = 2

We will now calculate the prime factors of 67730 and 67742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67730 and 67742.

How to find the GCF of 67730 and 67742?

We will first find the prime factorization of 67730 and 67742. After we will calculate the factors of 67730 and 67742 and find the biggest common factor number .

Step-1: Prime Factorization of 67730

Prime factors of 67730 are 2, 5, 13, 521. Prime factorization of 67730 in exponential form is:

67730 = 2¹ × 5¹ × 13¹ × 521¹

Step-2: Prime Factorization of 67742

Prime factors of 67742 are 2, 33871. Prime factorization of 67742 in exponential form is:

67742 = 2¹ × 33871¹

Step-3: Factors of 67730

List of positive integer factors of 67730 that divides 67730 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 521, 1042, 2605, 5210, 6773, 13546, 33865

Step-4: Factors of 67742

List of positive integer factors of 67742 that divides 67730 without a remainder.

1, 2, 33871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67730 and 67742. The biggest common factor number is the GCF number.
So the greatest common factor 67730 and 67742 is 2.

Also check out the Least Common Multiple of 67730 and 67742