What is the Greatest Common Factor of 76738 and 76754?

Greatest common factor (GCF) of 76738 and 76754 is 2.

GCF(76738,76754) = 2

We will now calculate the prime factors of 76738 and 76754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76738 and 76754.

How to find the GCF of 76738 and 76754?

We will first find the prime factorization of 76738 and 76754. After we will calculate the factors of 76738 and 76754 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 76754

Prime factors of 76754 are 2, 38377. Prime factorization of 76754 in exponential form is:

76754 = 2¹ × 38377¹

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 76754

List of positive integer factors of 76754 that divides 76738 without a remainder.

1, 2, 38377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76738 and 76754. The biggest common factor number is the GCF number.
So the greatest common factor 76738 and 76754 is 2.

Also check out the Least Common Multiple of 76738 and 76754