What is the Greatest Common Factor of 55500 and 55514?

Greatest common factor (GCF) of 55500 and 55514 is 2.

GCF(55500,55514) = 2

We will now calculate the prime factors of 55500 and 55514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55500 and 55514.

How to find the GCF of 55500 and 55514?

We will first find the prime factorization of 55500 and 55514. After we will calculate the factors of 55500 and 55514 and find the biggest common factor number .

Step-1: Prime Factorization of 55500

Prime factors of 55500 are 2, 3, 5, 37. Prime factorization of 55500 in exponential form is:

55500 = 2² × 3¹ × 5³ × 37¹

Step-2: Prime Factorization of 55514

Prime factors of 55514 are 2, 41, 677. Prime factorization of 55514 in exponential form is:

55514 = 2¹ × 41¹ × 677¹

Step-3: Factors of 55500

List of positive integer factors of 55500 that divides 55500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74, 75, 100, 111, 125, 148, 150, 185, 222, 250, 300, 370, 375, 444, 500, 555, 740, 750, 925, 1110, 1500, 1850, 2220, 2775, 3700, 4625, 5550, 9250, 11100, 13875, 18500, 27750

Step-4: Factors of 55514

List of positive integer factors of 55514 that divides 55500 without a remainder.

1, 2, 41, 82, 677, 1354, 27757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55500 and 55514. The biggest common factor number is the GCF number.
So the greatest common factor 55500 and 55514 is 2.

Also check out the Least Common Multiple of 55500 and 55514