What is the Greatest Common Factor of 76738 and 76747?

Greatest common factor (GCF) of 76738 and 76747 is 1.

GCF(76738,76747) = 1

We will now calculate the prime factors of 76738 and 76747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76738 and 76747.

How to find the GCF of 76738 and 76747?

We will first find the prime factorization of 76738 and 76747. After we will calculate the factors of 76738 and 76747 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 76747

Prime factors of 76747 are 11, 6977. Prime factorization of 76747 in exponential form is:

76747 = 11¹ × 6977¹

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 76747

List of positive integer factors of 76747 that divides 76738 without a remainder.

1, 11, 6977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76738 and 76747. The biggest common factor number is the GCF number.
So the greatest common factor 76738 and 76747 is 1.

Also check out the Least Common Multiple of 76738 and 76747