What is the Greatest Common Factor of 56560 and 56565?

Greatest common factor (GCF) of 56560 and 56565 is 5.

GCF(56560,56565) = 5

We will now calculate the prime factors of 56560 and 56565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56560 and 56565.

How to find the GCF of 56560 and 56565?

We will first find the prime factorization of 56560 and 56565. After we will calculate the factors of 56560 and 56565 and find the biggest common factor number .

Step-1: Prime Factorization of 56560

Prime factors of 56560 are 2, 5, 7, 101. Prime factorization of 56560 in exponential form is:

56560 = 2⁴ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 56565

Prime factors of 56565 are 3, 5, 419. Prime factorization of 56565 in exponential form is:

56565 = 3³ × 5¹ × 419¹

Step-3: Factors of 56560

List of positive integer factors of 56560 that divides 56560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 101, 112, 140, 202, 280, 404, 505, 560, 707, 808, 1010, 1414, 1616, 2020, 2828, 3535, 4040, 5656, 7070, 8080, 11312, 14140, 28280

Step-4: Factors of 56565

List of positive integer factors of 56565 that divides 56560 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 419, 1257, 2095, 3771, 6285, 11313, 18855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56560 and 56565. The biggest common factor number is the GCF number.
So the greatest common factor 56560 and 56565 is 5.

Also check out the Least Common Multiple of 56560 and 56565