What is the Greatest Common Factor of 55500 and 55516?

Greatest common factor (GCF) of 55500 and 55516 is 4.

GCF(55500,55516) = 4

We will now calculate the prime factors of 55500 and 55516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55500 and 55516.

How to find the GCF of 55500 and 55516?

We will first find the prime factorization of 55500 and 55516. After we will calculate the factors of 55500 and 55516 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 55516

Prime factors of 55516 are 2, 13879. Prime factorization of 55516 in exponential form is:

55516 = 2² × 13879¹

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 55516

List of positive integer factors of 55516 that divides 55500 without a remainder.

1, 2, 4, 13879, 27758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55500 and 55516. The biggest common factor number is the GCF number.
So the greatest common factor 55500 and 55516 is 4.

Also check out the Least Common Multiple of 55500 and 55516