What is the Greatest Common Factor of 68560 and 68578?

Greatest common factor (GCF) of 68560 and 68578 is 2.

GCF(68560,68578) = 2

We will now calculate the prime factors of 68560 and 68578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68560 and 68578.

How to find the GCF of 68560 and 68578?

We will first find the prime factorization of 68560 and 68578. After we will calculate the factors of 68560 and 68578 and find the biggest common factor number .

Step-1: Prime Factorization of 68560

Prime factors of 68560 are 2, 5, 857. Prime factorization of 68560 in exponential form is:

68560 = 2⁴ × 5¹ × 857¹

Step-2: Prime Factorization of 68578

Prime factors of 68578 are 2, 17, 2017. Prime factorization of 68578 in exponential form is:

68578 = 2¹ × 17¹ × 2017¹

Step-3: Factors of 68560

List of positive integer factors of 68560 that divides 68560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 857, 1714, 3428, 4285, 6856, 8570, 13712, 17140, 34280

Step-4: Factors of 68578

List of positive integer factors of 68578 that divides 68560 without a remainder.

1, 2, 17, 34, 2017, 4034, 34289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68560 and 68578. The biggest common factor number is the GCF number.
So the greatest common factor 68560 and 68578 is 2.

Also check out the Least Common Multiple of 68560 and 68578