What is the Greatest Common Factor of 68540 and 68545?

Greatest common factor (GCF) of 68540 and 68545 is 5.

GCF(68540,68545) = 5

We will now calculate the prime factors of 68540 and 68545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68540 and 68545.

How to find the GCF of 68540 and 68545?

We will first find the prime factorization of 68540 and 68545. After we will calculate the factors of 68540 and 68545 and find the biggest common factor number .

Step-1: Prime Factorization of 68540

Prime factors of 68540 are 2, 5, 23, 149. Prime factorization of 68540 in exponential form is:

68540 = 2² × 5¹ × 23¹ × 149¹

Step-2: Prime Factorization of 68545

Prime factors of 68545 are 5, 13709. Prime factorization of 68545 in exponential form is:

68545 = 5¹ × 13709¹

Step-3: Factors of 68540

List of positive integer factors of 68540 that divides 68540 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 149, 230, 298, 460, 596, 745, 1490, 2980, 3427, 6854, 13708, 17135, 34270

Step-4: Factors of 68545

List of positive integer factors of 68545 that divides 68540 without a remainder.

1, 5, 13709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68540 and 68545. The biggest common factor number is the GCF number.
So the greatest common factor 68540 and 68545 is 5.

Also check out the Least Common Multiple of 68540 and 68545