What is the Greatest Common Factor of 56760 and 56765?

Greatest common factor (GCF) of 56760 and 56765 is 5.

GCF(56760,56765) = 5

We will now calculate the prime factors of 56760 and 56765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56760 and 56765.

How to find the GCF of 56760 and 56765?

We will first find the prime factorization of 56760 and 56765. After we will calculate the factors of 56760 and 56765 and find the biggest common factor number .

Step-1: Prime Factorization of 56760

Prime factors of 56760 are 2, 3, 5, 11, 43. Prime factorization of 56760 in exponential form is:

56760 = 2³ × 3¹ × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 56765

Prime factors of 56765 are 5, 11353. Prime factorization of 56765 in exponential form is:

56765 = 5¹ × 11353¹

Step-3: Factors of 56760

List of positive integer factors of 56760 that divides 56760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 43, 44, 55, 60, 66, 86, 88, 110, 120, 129, 132, 165, 172, 215, 220, 258, 264, 330, 344, 430, 440, 473, 516, 645, 660, 860, 946, 1032, 1290, 1320, 1419, 1720, 1892, 2365, 2580, 2838, 3784, 4730, 5160, 5676, 7095, 9460, 11352, 14190, 18920, 28380

Step-4: Factors of 56765

List of positive integer factors of 56765 that divides 56760 without a remainder.

1, 5, 11353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56760 and 56765. The biggest common factor number is the GCF number.
So the greatest common factor 56760 and 56765 is 5.

Also check out the Least Common Multiple of 56760 and 56765