What is the Greatest Common Factor of 55770 and 55785?

Greatest common factor (GCF) of 55770 and 55785 is 15.

GCF(55770,55785) = 15

We will now calculate the prime factors of 55770 and 55785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55770 and 55785.

How to find the GCF of 55770 and 55785?

We will first find the prime factorization of 55770 and 55785. After we will calculate the factors of 55770 and 55785 and find the biggest common factor number .

Step-1: Prime Factorization of 55770

Prime factors of 55770 are 2, 3, 5, 11, 13. Prime factorization of 55770 in exponential form is:

55770 = 2¹ × 3¹ × 5¹ × 11¹ × 13²

Step-2: Prime Factorization of 55785

Prime factors of 55785 are 3, 5, 3719. Prime factorization of 55785 in exponential form is:

55785 = 3¹ × 5¹ × 3719¹

Step-3: Factors of 55770

List of positive integer factors of 55770 that divides 55770 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 169, 195, 286, 330, 338, 390, 429, 507, 715, 845, 858, 1014, 1430, 1690, 1859, 2145, 2535, 3718, 4290, 5070, 5577, 9295, 11154, 18590, 27885

Step-4: Factors of 55785

List of positive integer factors of 55785 that divides 55770 without a remainder.

1, 3, 5, 15, 3719, 11157, 18595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55770 and 55785. The biggest common factor number is the GCF number.
So the greatest common factor 55770 and 55785 is 15.

Also check out the Least Common Multiple of 55770 and 55785