What is the Greatest Common Factor of 40530 and 40540?

Greatest common factor (GCF) of 40530 and 40540 is 10.

GCF(40530,40540) = 10

We will now calculate the prime factors of 40530 and 40540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40530 and 40540.

How to find the GCF of 40530 and 40540?

We will first find the prime factorization of 40530 and 40540. After we will calculate the factors of 40530 and 40540 and find the biggest common factor number .

Step-1: Prime Factorization of 40530

Prime factors of 40530 are 2, 3, 5, 7, 193. Prime factorization of 40530 in exponential form is:

40530 = 2¹ × 3¹ × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 40540

Prime factors of 40540 are 2, 5, 2027. Prime factorization of 40540 in exponential form is:

40540 = 2² × 5¹ × 2027¹

Step-3: Factors of 40530

List of positive integer factors of 40530 that divides 40530 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 193, 210, 386, 579, 965, 1158, 1351, 1930, 2702, 2895, 4053, 5790, 6755, 8106, 13510, 20265

Step-4: Factors of 40540

List of positive integer factors of 40540 that divides 40530 without a remainder.

1, 2, 4, 5, 10, 20, 2027, 4054, 8108, 10135, 20270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40530 and 40540. The biggest common factor number is the GCF number.
So the greatest common factor 40530 and 40540 is 10.

Also check out the Least Common Multiple of 40530 and 40540