What is the Greatest Common Factor of 55814 and 55830?

Greatest common factor (GCF) of 55814 and 55830 is 2.

GCF(55814,55830) = 2

We will now calculate the prime factors of 55814 and 55830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55814 and 55830.

How to find the GCF of 55814 and 55830?

We will first find the prime factorization of 55814 and 55830. After we will calculate the factors of 55814 and 55830 and find the biggest common factor number .

Step-1: Prime Factorization of 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 2¹ × 11¹ × 43¹ × 59¹

Step-2: 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-3: Factors of 55814

List of positive integer factors of 55814 that divides 55814 without a remainder.

1, 2, 11, 22, 43, 59, 86, 118, 473, 649, 946, 1298, 2537, 5074, 27907

Step-4: Factors of 55830

List of positive integer factors of 55830 that divides 55814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55814 and 55830. The biggest common factor number is the GCF number.
So the greatest common factor 55814 and 55830 is 2.

Also check out the Least Common Multiple of 55814 and 55830