What is the Greatest Common Factor of 56560 and 56575?

Greatest common factor (GCF) of 56560 and 56575 is 5.

GCF(56560,56575) = 5

We will now calculate the prime factors of 56560 and 56575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56560 and 56575.

How to find the GCF of 56560 and 56575?

We will first find the prime factorization of 56560 and 56575. After we will calculate the factors of 56560 and 56575 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 56575

Prime factors of 56575 are 5, 31, 73. Prime factorization of 56575 in exponential form is:

56575 = 5² × 31¹ × 73¹

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 56575

List of positive integer factors of 56575 that divides 56560 without a remainder.

1, 5, 25, 31, 73, 155, 365, 775, 1825, 2263, 11315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56560 and 56575. The biggest common factor number is the GCF number.
So the greatest common factor 56560 and 56575 is 5.

Also check out the Least Common Multiple of 56560 and 56575