What is the Greatest Common Factor of 76568 and 76578?

Greatest common factor (GCF) of 76568 and 76578 is 2.

GCF(76568,76578) = 2

We will now calculate the prime factors of 76568 and 76578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76568 and 76578.

How to find the GCF of 76568 and 76578?

We will first find the prime factorization of 76568 and 76578. After we will calculate the factors of 76568 and 76578 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76578

Prime factors of 76578 are 2, 3, 12763. Prime factorization of 76578 in exponential form is:

76578 = 2¹ × 3¹ × 12763¹

Step-3: Factors of 76568

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

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

Step-4: Factors of 76578

List of positive integer factors of 76578 that divides 76568 without a remainder.

1, 2, 3, 6, 12763, 25526, 38289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76568 and 76578. The biggest common factor number is the GCF number.
So the greatest common factor 76568 and 76578 is 2.

Also check out the Least Common Multiple of 76568 and 76578