What is the Greatest Common Factor of 55380 and 55398?

Greatest common factor (GCF) of 55380 and 55398 is 6.

GCF(55380,55398) = 6

We will now calculate the prime factors of 55380 and 55398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55398.

How to find the GCF of 55380 and 55398?

We will first find the prime factorization of 55380 and 55398. After we will calculate the factors of 55380 and 55398 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 55398

Prime factors of 55398 are 2, 3, 7, 1319. Prime factorization of 55398 in exponential form is:

55398 = 2¹ × 3¹ × 7¹ × 1319¹

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 55398

List of positive integer factors of 55398 that divides 55380 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1319, 2638, 3957, 7914, 9233, 18466, 27699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55398. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55398 is 6.

Also check out the Least Common Multiple of 55380 and 55398