What is the Greatest Common Factor of 55120 and 55130?

Greatest common factor (GCF) of 55120 and 55130 is 10.

GCF(55120,55130) = 10

We will now calculate the prime factors of 55120 and 55130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55120 and 55130.

How to find the GCF of 55120 and 55130?

We will first find the prime factorization of 55120 and 55130. After we will calculate the factors of 55120 and 55130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55130

Prime factors of 55130 are 2, 5, 37, 149. Prime factorization of 55130 in exponential form is:

55130 = 2¹ × 5¹ × 37¹ × 149¹

Step-3: Factors of 55120

List of positive integer factors of 55120 that divides 55120 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

Step-4: Factors of 55130

List of positive integer factors of 55130 that divides 55120 without a remainder.

1, 2, 5, 10, 37, 74, 149, 185, 298, 370, 745, 1490, 5513, 11026, 27565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55120 and 55130. The biggest common factor number is the GCF number.
So the greatest common factor 55120 and 55130 is 10.

Also check out the Least Common Multiple of 55120 and 55130