What is the Greatest Common Factor of 55380 and 55390?

Greatest common factor (GCF) of 55380 and 55390 is 10.

GCF(55380,55390) = 10

We will now calculate the prime factors of 55380 and 55390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55390.

How to find the GCF of 55380 and 55390?

We will first find the prime factorization of 55380 and 55390. After we will calculate the factors of 55380 and 55390 and find the biggest common factor number .

Step-1: Prime Factorization of 55380

Prime factors of 55380 are 2, 3, 5, 13, 71. Prime factorization of 55380 in exponential form is:

55380 = 2² × 3¹ × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 55390

Prime factors of 55390 are 2, 5, 29, 191. Prime factorization of 55390 in exponential form is:

55390 = 2¹ × 5¹ × 29¹ × 191¹

Step-3: Factors of 55380

List of positive integer factors of 55380 that divides 55380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 71, 78, 130, 142, 156, 195, 213, 260, 284, 355, 390, 426, 710, 780, 852, 923, 1065, 1420, 1846, 2130, 2769, 3692, 4260, 4615, 5538, 9230, 11076, 13845, 18460, 27690

Step-4: Factors of 55390

List of positive integer factors of 55390 that divides 55380 without a remainder.

1, 2, 5, 10, 29, 58, 145, 191, 290, 382, 955, 1910, 5539, 11078, 27695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55390. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55390 is 10.

Also check out the Least Common Multiple of 55380 and 55390