What is the Greatest Common Factor of 55830 and 55850?

Greatest common factor (GCF) of 55830 and 55850 is 10.

GCF(55830,55850) = 10

We will now calculate the prime factors of 55830 and 55850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55830 and 55850.

How to find the GCF of 55830 and 55850?

We will first find the prime factorization of 55830 and 55850. After we will calculate the factors of 55830 and 55850 and find the biggest common factor number .

Step-1: Prime Factorization of 55830

Prime factors of 55830 are 2, 3, 5, 1861. Prime factorization of 55830 in exponential form is:

55830 = 2¹ × 3¹ × 5¹ × 1861¹

Step-2: Prime Factorization of 55850

Prime factors of 55850 are 2, 5, 1117. Prime factorization of 55850 in exponential form is:

55850 = 2¹ × 5² × 1117¹

Step-3: Factors of 55830

List of positive integer factors of 55830 that divides 55830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1861, 3722, 5583, 9305, 11166, 18610, 27915

Step-4: Factors of 55850

List of positive integer factors of 55850 that divides 55830 without a remainder.

1, 2, 5, 10, 25, 50, 1117, 2234, 5585, 11170, 27925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55830 and 55850. The biggest common factor number is the GCF number.
So the greatest common factor 55830 and 55850 is 10.

Also check out the Least Common Multiple of 55830 and 55850