What is the Greatest Common Factor of 55750 and 55770?

Greatest common factor (GCF) of 55750 and 55770 is 10.

GCF(55750,55770) = 10

We will now calculate the prime factors of 55750 and 55770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55750 and 55770.

How to find the GCF of 55750 and 55770?

We will first find the prime factorization of 55750 and 55770. After we will calculate the factors of 55750 and 55770 and find the biggest common factor number .

Step-1: Prime Factorization of 55750

Prime factors of 55750 are 2, 5, 223. Prime factorization of 55750 in exponential form is:

55750 = 2¹ × 5³ × 223¹

Step-2: 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-3: Factors of 55750

List of positive integer factors of 55750 that divides 55750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 223, 250, 446, 1115, 2230, 5575, 11150, 27875

Step-4: Factors of 55770

List of positive integer factors of 55770 that divides 55750 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55750 and 55770. The biggest common factor number is the GCF number.
So the greatest common factor 55750 and 55770 is 10.

Also check out the Least Common Multiple of 55750 and 55770