What is the Greatest Common Factor of 40560 and 40578?

Greatest common factor (GCF) of 40560 and 40578 is 6.

GCF(40560,40578) = 6

We will now calculate the prime factors of 40560 and 40578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40560 and 40578.

How to find the GCF of 40560 and 40578?

We will first find the prime factorization of 40560 and 40578. After we will calculate the factors of 40560 and 40578 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 40578

Prime factors of 40578 are 2, 3, 6763. Prime factorization of 40578 in exponential form is:

40578 = 2¹ × 3¹ × 6763¹

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 40578

List of positive integer factors of 40578 that divides 40560 without a remainder.

1, 2, 3, 6, 6763, 13526, 20289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40560 and 40578. The biggest common factor number is the GCF number.
So the greatest common factor 40560 and 40578 is 6.

Also check out the Least Common Multiple of 40560 and 40578