What is the Greatest Common Factor of 75782 and 75796?

Greatest common factor (GCF) of 75782 and 75796 is 14.

GCF(75782,75796) = 14

We will now calculate the prime factors of 75782 and 75796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75782 and 75796.

How to find the GCF of 75782 and 75796?

We will first find the prime factorization of 75782 and 75796. After we will calculate the factors of 75782 and 75796 and find the biggest common factor number .

Step-1: Prime Factorization of 75782

Prime factors of 75782 are 2, 7, 5413. Prime factorization of 75782 in exponential form is:

75782 = 2¹ × 7¹ × 5413¹

Step-2: Prime Factorization of 75796

Prime factors of 75796 are 2, 7, 2707. Prime factorization of 75796 in exponential form is:

75796 = 2² × 7¹ × 2707¹

Step-3: Factors of 75782

List of positive integer factors of 75782 that divides 75782 without a remainder.

1, 2, 7, 14, 5413, 10826, 37891

Step-4: Factors of 75796

List of positive integer factors of 75796 that divides 75782 without a remainder.

1, 2, 4, 7, 14, 28, 2707, 5414, 10828, 18949, 37898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75782 and 75796. The biggest common factor number is the GCF number.
So the greatest common factor 75782 and 75796 is 14.

Also check out the Least Common Multiple of 75782 and 75796