What is the Greatest Common Factor of 40560 and 40575?

Greatest common factor (GCF) of 40560 and 40575 is 15.

GCF(40560,40575) = 15

We will now calculate the prime factors of 40560 and 40575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40560 and 40575.

How to find the GCF of 40560 and 40575?

We will first find the prime factorization of 40560 and 40575. After we will calculate the factors of 40560 and 40575 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40575

Prime factors of 40575 are 3, 5, 541. Prime factorization of 40575 in exponential form is:

40575 = 3¹ × 5² × 541¹

Step-3: Factors of 40560

List of positive integer factors of 40560 that divides 40560 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

Step-4: Factors of 40575

List of positive integer factors of 40575 that divides 40560 without a remainder.

1, 3, 5, 15, 25, 75, 541, 1623, 2705, 8115, 13525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40560 and 40575. The biggest common factor number is the GCF number.
So the greatest common factor 40560 and 40575 is 15.

Also check out the Least Common Multiple of 40560 and 40575