What is the Greatest Common Factor of 55380 and 55387?

Greatest common factor (GCF) of 55380 and 55387 is 1.

GCF(55380,55387) = 1

We will now calculate the prime factors of 55380 and 55387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55387.

How to find the GCF of 55380 and 55387?

We will first find the prime factorization of 55380 and 55387. After we will calculate the factors of 55380 and 55387 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 55387

Prime factors of 55387 are 97, 571. Prime factorization of 55387 in exponential form is:

55387 = 97¹ × 571¹

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 55387

List of positive integer factors of 55387 that divides 55380 without a remainder.

1, 97, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55387. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55387 is 1.

Also check out the Least Common Multiple of 55380 and 55387