What is the Greatest Common Factor of 40523 and 40530?

Greatest common factor (GCF) of 40523 and 40530 is 7.

GCF(40523,40530) = 7

We will now calculate the prime factors of 40523 and 40530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40523 and 40530.

How to find the GCF of 40523 and 40530?

We will first find the prime factorization of 40523 and 40530. After we will calculate the factors of 40523 and 40530 and find the biggest common factor number .

Step-1: Prime Factorization of 40523

Prime factors of 40523 are 7, 827. Prime factorization of 40523 in exponential form is:

40523 = 7² × 827¹

Step-2: 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-3: Factors of 40523

List of positive integer factors of 40523 that divides 40523 without a remainder.

1, 7, 49, 827, 5789

Step-4: Factors of 40530

List of positive integer factors of 40530 that divides 40523 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40523 and 40530. The biggest common factor number is the GCF number.
So the greatest common factor 40523 and 40530 is 7.

Also check out the Least Common Multiple of 40523 and 40530