What is the Greatest Common Factor of 76558 and 76568?

Greatest common factor (GCF) of 76558 and 76568 is 2.

GCF(76558,76568) = 2

We will now calculate the prime factors of 76558 and 76568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76558 and 76568.

How to find the GCF of 76558 and 76568?

We will first find the prime factorization of 76558 and 76568. After we will calculate the factors of 76558 and 76568 and find the biggest common factor number .

Step-1: Prime Factorization of 76558

Prime factors of 76558 are 2, 101, 379. Prime factorization of 76558 in exponential form is:

76558 = 2¹ × 101¹ × 379¹

Step-2: Prime Factorization of 76568

Prime factors of 76568 are 2, 17, 563. Prime factorization of 76568 in exponential form is:

76568 = 2³ × 17¹ × 563¹

Step-3: Factors of 76558

List of positive integer factors of 76558 that divides 76558 without a remainder.

1, 2, 101, 202, 379, 758, 38279

Step-4: Factors of 76568

List of positive integer factors of 76568 that divides 76558 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 563, 1126, 2252, 4504, 9571, 19142, 38284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76558 and 76568. The biggest common factor number is the GCF number.
So the greatest common factor 76558 and 76568 is 2.

Also check out the Least Common Multiple of 76558 and 76568