What is the Greatest Common Factor of 40545 and 40560?

Greatest common factor (GCF) of 40545 and 40560 is 15.

GCF(40545,40560) = 15

We will now calculate the prime factors of 40545 and 40560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40545 and 40560.

How to find the GCF of 40545 and 40560?

We will first find the prime factorization of 40545 and 40560. After we will calculate the factors of 40545 and 40560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40560

Prime factors of 40560 are 2, 3, 5, 13. Prime factorization of 40560 in exponential form is:

40560 = 2⁴ × 3¹ × 5¹ × 13²

Step-3: Factors of 40545

List of positive integer factors of 40545 that divides 40545 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

Step-4: Factors of 40560

List of positive integer factors of 40560 that divides 40545 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 169, 195, 208, 240, 260, 312, 338, 390, 507, 520, 624, 676, 780, 845, 1014, 1040, 1352, 1560, 1690, 2028, 2535, 2704, 3120, 3380, 4056, 5070, 6760, 8112, 10140, 13520, 20280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40545 and 40560. The biggest common factor number is the GCF number.
So the greatest common factor 40545 and 40560 is 15.

Also check out the Least Common Multiple of 40545 and 40560