What is the Greatest Common Factor of 68530 and 68540?

Greatest common factor (GCF) of 68530 and 68540 is 10.

GCF(68530,68540) = 10

We will now calculate the prime factors of 68530 and 68540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68530 and 68540.

How to find the GCF of 68530 and 68540?

We will first find the prime factorization of 68530 and 68540. After we will calculate the factors of 68530 and 68540 and find the biggest common factor number .

Step-1: Prime Factorization of 68530

Prime factors of 68530 are 2, 5, 7, 11, 89. Prime factorization of 68530 in exponential form is:

68530 = 2¹ × 5¹ × 7¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 68530

List of positive integer factors of 68530 that divides 68530 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 89, 110, 154, 178, 385, 445, 623, 770, 890, 979, 1246, 1958, 3115, 4895, 6230, 6853, 9790, 13706, 34265

Step-4: Factors of 68540

List of positive integer factors of 68540 that divides 68530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68530 and 68540. The biggest common factor number is the GCF number.
So the greatest common factor 68530 and 68540 is 10.

Also check out the Least Common Multiple of 68530 and 68540