What is the Greatest Common Factor of 76738 and 76742?

Greatest common factor (GCF) of 76738 and 76742 is 2.

GCF(76738,76742) = 2

We will now calculate the prime factors of 76738 and 76742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76738 and 76742.

How to find the GCF of 76738 and 76742?

We will first find the prime factorization of 76738 and 76742. After we will calculate the factors of 76738 and 76742 and find the biggest common factor number .

Step-1: Prime Factorization of 76738

Prime factors of 76738 are 2, 17, 37, 61. Prime factorization of 76738 in exponential form is:

76738 = 2¹ × 17¹ × 37¹ × 61¹

Step-2: Prime Factorization of 76742

Prime factors of 76742 are 2, 38371. Prime factorization of 76742 in exponential form is:

76742 = 2¹ × 38371¹

Step-3: Factors of 76738

List of positive integer factors of 76738 that divides 76738 without a remainder.

1, 2, 17, 34, 37, 61, 74, 122, 629, 1037, 1258, 2074, 2257, 4514, 38369

Step-4: Factors of 76742

List of positive integer factors of 76742 that divides 76738 without a remainder.

1, 2, 38371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76738 and 76742. The biggest common factor number is the GCF number.
So the greatest common factor 76738 and 76742 is 2.

Also check out the Least Common Multiple of 76738 and 76742