What is the Greatest Common Factor of 55100 and 55120?

Greatest common factor (GCF) of 55100 and 55120 is 20.

GCF(55100,55120) = 20

We will now calculate the prime factors of 55100 and 55120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55100 and 55120.

How to find the GCF of 55100 and 55120?

We will first find the prime factorization of 55100 and 55120. After we will calculate the factors of 55100 and 55120 and find the biggest common factor number .

Step-1: Prime Factorization of 55100

Prime factors of 55100 are 2, 5, 19, 29. Prime factorization of 55100 in exponential form is:

55100 = 2² × 5² × 19¹ × 29¹

Step-2: Prime Factorization of 55120

Prime factors of 55120 are 2, 5, 13, 53. Prime factorization of 55120 in exponential form is:

55120 = 2⁴ × 5¹ × 13¹ × 53¹

Step-3: Factors of 55100

List of positive integer factors of 55100 that divides 55100 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 29, 38, 50, 58, 76, 95, 100, 116, 145, 190, 290, 380, 475, 551, 580, 725, 950, 1102, 1450, 1900, 2204, 2755, 2900, 5510, 11020, 13775, 27550

Step-4: Factors of 55120

List of positive integer factors of 55120 that divides 55100 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 53, 65, 80, 104, 106, 130, 208, 212, 260, 265, 424, 520, 530, 689, 848, 1040, 1060, 1378, 2120, 2756, 3445, 4240, 5512, 6890, 11024, 13780, 27560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55100 and 55120. The biggest common factor number is the GCF number.
So the greatest common factor 55100 and 55120 is 20.

Also check out the Least Common Multiple of 55100 and 55120