What is the Greatest Common Factor of 40530 and 40545?

Greatest common factor (GCF) of 40530 and 40545 is 15.

GCF(40530,40545) = 15

We will now calculate the prime factors of 40530 and 40545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40530 and 40545.

How to find the GCF of 40530 and 40545?

We will first find the prime factorization of 40530 and 40545. After we will calculate the factors of 40530 and 40545 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 40545

Prime factors of 40545 are 3, 5, 17, 53. Prime factorization of 40545 in exponential form is:

40545 = 3² × 5¹ × 17¹ × 53¹

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 40545

List of positive integer factors of 40545 that divides 40530 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 53, 85, 153, 159, 255, 265, 477, 765, 795, 901, 2385, 2703, 4505, 8109, 13515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40530 and 40545. The biggest common factor number is the GCF number.
So the greatest common factor 40530 and 40545 is 15.

Also check out the Least Common Multiple of 40530 and 40545