What is the Greatest Common Factor of 40560 and 40569?

Greatest common factor (GCF) of 40560 and 40569 is 3.

GCF(40560,40569) = 3

We will now calculate the prime factors of 40560 and 40569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40560 and 40569.

How to find the GCF of 40560 and 40569?

We will first find the prime factorization of 40560 and 40569. After we will calculate the factors of 40560 and 40569 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 40569

Prime factors of 40569 are 3, 13523. Prime factorization of 40569 in exponential form is:

40569 = 3¹ × 13523¹

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 40569

List of positive integer factors of 40569 that divides 40560 without a remainder.

1, 3, 13523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40560 and 40569. The biggest common factor number is the GCF number.
So the greatest common factor 40560 and 40569 is 3.

Also check out the Least Common Multiple of 40560 and 40569