What is the Greatest Common Factor of 56760 and 56769?

Greatest common factor (GCF) of 56760 and 56769 is 3.

GCF(56760,56769) = 3

We will now calculate the prime factors of 56760 and 56769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56760 and 56769.

How to find the GCF of 56760 and 56769?

We will first find the prime factorization of 56760 and 56769. After we will calculate the factors of 56760 and 56769 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 56769

Prime factors of 56769 are 3, 127, 149. Prime factorization of 56769 in exponential form is:

56769 = 3¹ × 127¹ × 149¹

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 56769

List of positive integer factors of 56769 that divides 56760 without a remainder.

1, 3, 127, 149, 381, 447, 18923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56760 and 56769. The biggest common factor number is the GCF number.
So the greatest common factor 56760 and 56769 is 3.

Also check out the Least Common Multiple of 56760 and 56769