What is the Greatest Common Factor of 55380 and 55396?

Greatest common factor (GCF) of 55380 and 55396 is 4.

GCF(55380,55396) = 4

We will now calculate the prime factors of 55380 and 55396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55396.

How to find the GCF of 55380 and 55396?

We will first find the prime factorization of 55380 and 55396. After we will calculate the factors of 55380 and 55396 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 55396

Prime factors of 55396 are 2, 11, 1259. Prime factorization of 55396 in exponential form is:

55396 = 2² × 11¹ × 1259¹

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 55396

List of positive integer factors of 55396 that divides 55380 without a remainder.

1, 2, 4, 11, 22, 44, 1259, 2518, 5036, 13849, 27698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55396. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55396 is 4.

Also check out the Least Common Multiple of 55380 and 55396