What is the Greatest Common Factor of 68560 and 68565?

Greatest common factor (GCF) of 68560 and 68565 is 5.

GCF(68560,68565) = 5

We will now calculate the prime factors of 68560 and 68565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68560 and 68565.

How to find the GCF of 68560 and 68565?

We will first find the prime factorization of 68560 and 68565. After we will calculate the factors of 68560 and 68565 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 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 3¹ × 5¹ × 7¹ × 653¹

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 68565

List of positive integer factors of 68565 that divides 68560 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 653, 1959, 3265, 4571, 9795, 13713, 22855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68560 and 68565. The biggest common factor number is the GCF number.
So the greatest common factor 68560 and 68565 is 5.

Also check out the Least Common Multiple of 68560 and 68565